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1158240330 = 233513794177
BaseRepresentation
bin100010100001001…
…0101100001001010
32222201102201001000
41011002111201022
54333002142310
6310533035430
740462610652
oct10502254112
92881381030
101158240330
11544884115
12283a85b76
13155c62a10
14adb7d362
156ba3c4c0
hex4509584a

1158240330 has 128 divisors (see below), whose sum is σ = 3369139200. Its totient is φ = 281428992.

The previous prime is 1158240329. The next prime is 1158240331. The reversal of 1158240330 is 330428511.

It is a happy number.

1158240330 is a `hidden beast` number, since 11 + 582 + 40 + 3 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (1158240329) and next prime (1158240331).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1158240294 and 1158240303.

It is not an unprimeable number, because it can be changed into a prime (1158240331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 275202 + ... + 279378.

It is an arithmetic number, because the mean of its divisors is an integer number (26321400).

Almost surely, 21158240330 is an apocalyptic number.

1158240330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1158240330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684569600).

1158240330 is an abundant number, since it is smaller than the sum of its proper divisors (2210898870).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1158240330 is a wasteful number, since it uses less digits than its factorization.

1158240330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4285 (or 4279 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1158240330 is about 34032.9300824951. The cubic root of 1158240330 is about 1050.1860078630.

Adding to 1158240330 its reverse (330428511), we get a palindrome (1488668841).

The spelling of 1158240330 in words is "one billion, one hundred fifty-eight million, two hundred forty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 79 90 117 130 135 158 195 234 237 270 351 390 395 474 585 702 711 790 1027 1170 1185 1422 1755 2054 2133 2370 3081 3510 3555 4177 4266 5135 6162 7110 8354 9243 10270 10665 12531 15405 18486 20885 21330 25062 27729 30810 37593 41770 46215 54301 55458 62655 75186 92430 108602 112779 125310 138645 162903 187965 225558 271505 277290 325806 329983 375930 488709 543010 563895 659966 814515 977418 989949 1127790 1466127 1629030 1649915 1979898 2443545 2932254 2969847 3299830 4289779 4887090 4949745 5939694 7330635 8579558 8909541 9899490 12869337 14661270 14849235 17819082 21448895 25738674 29698470 38608011 42897790 44547705 64346685 77216022 89095410 115824033 128693370 193040055 231648066 386080110 579120165 1158240330