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1164142530 = 23554710193
BaseRepresentation
bin100010101100011…
…0110011111000010
310000010112120100000
41011120312133002
54341010030110
6311303340430
740564022355
oct10530663702
93003476300
101164142530
11548145571
12285a51716
1315724b345
14b087829c
156c3061c0
hex456367c2

1164142530 has 96 divisors (see below), whose sum is σ = 3205972224. Its totient is φ = 303803136.

The previous prime is 1164142519. The next prime is 1164142531. The reversal of 1164142530 is 352414611.

It is a happy number.

1164142530 is a `hidden beast` number, since 11 + 641 + 4 + 2 + 5 + 3 + 0 = 666.

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 = 1164142494 and 1164142503.

It is not an unprimeable number, because it can be changed into a prime (1164142531) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109114 + ... + 119306.

It is an arithmetic number, because the mean of its divisors is an integer number (33395544).

Almost surely, 21164142530 is an apocalyptic number.

1164142530 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 1164142530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602986112).

1164142530 is an abundant number, since it is smaller than the sum of its proper divisors (2041829694).

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

1164142530 is a wasteful number, since it uses less digits than its factorization.

1164142530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10262 (or 10250 counting only the distinct ones).

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

The square root of 1164142530 is about 34119.5329686677. The cubic root of 1164142530 is about 1051.9668440494.

The spelling of 1164142530 in words is "one billion, one hundred sixty-four million, one hundred forty-two thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 47 54 81 90 94 135 141 162 235 243 270 282 405 423 470 486 705 810 846 1215 1269 1410 2115 2430 2538 3807 4230 6345 7614 10193 11421 12690 19035 20386 22842 30579 38070 50965 57105 61158 91737 101930 114210 152895 183474 275211 305790 458685 479071 550422 825633 917370 958142 1376055 1437213 1651266 2395355 2476899 2752110 2874426 4128165 4311639 4790710 4953798 7186065 8256330 8623278 12384495 12934917 14372130 21558195 24768990 25869834 38804751 43116390 64674585 77609502 116414253 129349170 194023755 232828506 388047510 582071265 1164142530