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152930680 = 23572323747
BaseRepresentation
bin10010001110110…
…00100101111000
3101122202200110021
421013120211320
5303122240210
623101500224
73534614020
oct1107304570
9348680407
10152930680
11793640a1
1243271674
13258b6b36
141644ca80
15d65cbda
hex91d8978

152930680 has 64 divisors (see below), whose sum is σ = 410365440. Its totient is φ = 50151552.

The previous prime is 152930671. The next prime is 152930681. The reversal of 152930680 is 86039251.

152930680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152930681) 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 15 ways as a sum of consecutive naturals, for example, 5434 + ... + 18313.

It is an arithmetic number, because the mean of its divisors is an integer number (6411960).

Almost surely, 2152930680 is an apocalyptic number.

152930680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152930680 is an abundant number, since it is smaller than the sum of its proper divisors (257434760).

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

152930680 is a wasteful number, since it uses less digits than its factorization.

152930680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23788 (or 23784 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 152930680 is about 12366.5144644722. The cubic root of 152930680 is about 534.7673370375.

The spelling of 152930680 in words is "one hundred fifty-two million, nine hundred thirty thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 460 644 805 920 1288 1610 3220 6440 23747 47494 94988 118735 166229 189976 237470 332458 474940 546181 664916 831145 949880 1092362 1329832 1662290 2184724 2730905 3324580 3823267 4369448 5461810 6649160 7646534 10923620 15293068 19116335 21847240 30586136 38232670 76465340 152930680