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152260641 = 3513157307
BaseRepresentation
bin10010001001101…
…01000000100001
3101121111122100000
421010311000201
5302434320031
623035250213
73526123401
oct1104650041
9347448300
10152260641
1178a46745
1242ba9969
1325710b70
1416316801
15d5793e6
hex9135021

152260641 has 48 divisors (see below), whose sum is σ = 247991744. Its totient is φ = 92798784.

The previous prime is 152260637. The next prime is 152260657. The reversal of 152260641 is 146062251.

152260641 is a `hidden beast` number, since 1 + 52 + 2 + 606 + 4 + 1 = 666.

It is not a de Polignac number, because 152260641 - 22 = 152260637 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (152260441) 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, 495810 + ... + 496116.

Almost surely, 2152260641 is an apocalyptic number.

It is an amenable number.

152260641 is a deficient number, since it is larger than the sum of its proper divisors (95731103).

152260641 is a wasteful number, since it uses less digits than its factorization.

152260641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 480 counting only the distinct ones).

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

The square root of 152260641 is about 12339.3938667991. The cubic root of 152260641 is about 533.9851971657.

The spelling of 152260641 in words is "one hundred fifty-two million, two hundred sixty thousand, six hundred forty-one".

Divisors: 1 3 9 13 27 39 81 117 157 243 307 351 471 921 1053 1413 2041 2763 3159 3991 4239 6123 8289 11973 12717 18369 24867 35919 38151 48199 55107 74601 107757 144597 165321 323271 433791 495963 626587 969813 1301373 1879761 3904119 5639283 11712357 16917849 50753547 152260641