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1520134152 = 2331761103593
BaseRepresentation
bin101101010011011…
…0110100000001000
310220221101211000220
41122212312200020
511103123243102
6410501430040
752445632665
oct13246664010
93827354026
101520134152
11710092319
1236510b320
131b2c21784
14105c64a6c
158d6c51bc
hex5a9b6808

1520134152 has 128 divisors (see below), whose sum is σ = 4136520960. Its totient is φ = 463749120.

The previous prime is 1520134079. The next prime is 1520134157. The reversal of 1520134152 is 2514310251.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1520134157) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2563168 + ... + 2563760.

It is an arithmetic number, because the mean of its divisors is an integer number (32316570).

Almost surely, 21520134152 is an apocalyptic number.

1520134152 is a gapful number since it is divisible by the number (12) 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 1520134152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068260480).

1520134152 is an abundant number, since it is smaller than the sum of its proper divisors (2616386808).

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

1520134152 is a wasteful number, since it uses less digits than its factorization.

1520134152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 1520134152 is about 38988.8978043750. The cubic root of 1520134152 is about 1149.8132404974.

The spelling of 1520134152 in words is "one billion, five hundred twenty million, one hundred thirty-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 61 68 102 103 122 136 183 204 206 244 309 366 408 412 488 593 618 732 824 1037 1186 1236 1464 1751 1779 2074 2372 2472 3111 3502 3558 4148 4744 5253 6222 6283 7004 7116 8296 10081 10506 12444 12566 14008 14232 18849 20162 21012 24888 25132 30243 36173 37698 40324 42024 50264 60486 61079 72346 75396 80648 106811 108519 120972 122158 144692 150792 183237 213622 217038 241944 244316 289384 320433 366474 427244 434076 488632 614941 640866 732948 854488 868152 1038343 1229882 1281732 1465896 1844823 2076686 2459764 2563464 3115029 3689646 3725819 4153372 4919528 6230058 7379292 7451638 8306744 11177457 12460116 14758584 14903276 22354914 24920232 29806552 44709828 63338923 89419656 126677846 190016769 253355692 380033538 506711384 760067076 1520134152