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152116560 = 24325415153
BaseRepresentation
bin10010001000100…
…01110101010000
3101121020022200200
421010101311100
5302420212220
623032215200
73524653341
oct1104216520
9347208620
10152116560
1178958472
1242b3a500
13256903cb
14162ba0c8
15d54b890
hex9111d50

152116560 has 120 divisors (see below), whose sum is σ = 523419624. Its totient is φ = 39567360.

The previous prime is 152116553. The next prime is 152116579. The reversal of 152116560 is 65611251.

It is a happy number.

152116560 is a `hidden beast` number, since 1 + 5 + 2 + 1 + 1 + 656 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1710864 + 150405696 = 1308^2 + 12264^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26944 + ... + 32096.

Almost surely, 2152116560 is an apocalyptic number.

152116560 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 152116560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261709812).

152116560 is an abundant number, since it is smaller than the sum of its proper divisors (371303064).

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

152116560 is a wasteful number, since it uses less digits than its factorization.

152116560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5213 (or 5204 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 152116560 is about 12333.5542322560. The cubic root of 152116560 is about 533.8167110719.

It can be divided in two parts, 1521 and 16560, that added together give a palindrome (18081).

The spelling of 152116560 in words is "one hundred fifty-two million, one hundred sixteen thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 41 45 48 60 72 80 82 90 120 123 144 164 180 205 240 246 328 360 369 410 492 615 656 720 738 820 984 1230 1476 1640 1845 1968 2460 2952 3280 3690 4920 5153 5904 7380 9840 10306 14760 15459 20612 25765 29520 30918 41224 46377 51530 61836 77295 82448 92754 103060 123672 154590 185508 206120 211273 231885 247344 309180 371016 412240 422546 463770 618360 633819 742032 845092 927540 1056365 1236720 1267638 1690184 1855080 1901457 2112730 2535276 3169095 3380368 3710160 3802914 4225460 5070552 6338190 7605828 8450920 9507285 10141104 12676380 15211656 16901840 19014570 25352760 30423312 38029140 50705520 76058280 152116560