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1152323120 = 245132292939
BaseRepresentation
bin100010010101111…
…0000111000110000
32222022022002011002
41010223300320300
54324443314440
6310202141132
740361404424
oct10453607060
92868262132
101152323120
11541502463
12281ab17a8
13154970600
14ad07cb84
156b26e115
hex44af0e30

1152323120 has 120 divisors (see below), whose sum is σ = 3002151600. Its totient is φ = 410661888.

The previous prime is 1152323119. The next prime is 1152323131. The reversal of 1152323120 is 213232511.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1152323092 and 1152323101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 390611 + ... + 393549.

It is an arithmetic number, because the mean of its divisors is an integer number (25017930).

Almost surely, 21152323120 is an apocalyptic number.

1152323120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1152323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501075800).

1152323120 is an abundant number, since it is smaller than the sum of its proper divisors (1849828480).

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

1152323120 is a wasteful number, since it uses less digits than its factorization.

1152323120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3007 (or 2988 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 1152323120 is about 33945.8851703708. The cubic root of 1152323120 is about 1048.3945593963.

Adding to 1152323120 its reverse (213232511), we get a palindrome (1365555631).

It can be divided in two parts, 11523 and 23120, that added together give a palindrome (34643).

The spelling of 1152323120 in words is "one billion, one hundred fifty-two million, three hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 40 52 58 65 80 104 116 130 145 169 208 232 260 290 338 377 464 520 580 676 754 845 1040 1160 1352 1508 1690 1885 2320 2704 2939 3016 3380 3770 4901 5878 6032 6760 7540 9802 11756 13520 14695 15080 19604 23512 24505 29390 30160 38207 39208 47024 49010 58780 76414 78416 85231 98020 117560 152828 170462 191035 196040 235120 305656 340924 382070 392080 426155 496691 611312 681848 764140 852310 993382 1108003 1363696 1528280 1704620 1986764 2216006 2483455 3056560 3409240 3973528 4432012 4966910 5540015 6818480 7947056 8864024 9933820 11080030 14404039 17728048 19867640 22160060 28808078 39735280 44320120 57616156 72020195 88640240 115232312 144040390 230464624 288080780 576161560 1152323120