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151360461 = 3372114407
BaseRepresentation
bin10010000010110…
…01001111001101
3101112210220112000
421001121033031
5302222013321
623004102513
73515354100
oct1101311715
9345726460
10151360461
117849139a
1242834a39
1325487205
1416160737
15d44c826
hex90593cd

151360461 has 24 divisors (see below), whose sum is σ = 260850240. Its totient is φ = 86490936.

The previous prime is 151360423. The next prime is 151360471. The reversal of 151360461 is 164063151.

151360461 is a `hidden beast` number, since 1 + 51 + 3 + 604 + 6 + 1 = 666.

It is not a de Polignac number, because 151360461 - 213 = 151352269 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151360411) 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 23 ways as a sum of consecutive naturals, for example, 55881 + ... + 58526.

It is an arithmetic number, because the mean of its divisors is an integer number (10868760).

Almost surely, 2151360461 is an apocalyptic number.

It is an amenable number.

151360461 is a deficient number, since it is larger than the sum of its proper divisors (109489779).

151360461 is a wasteful number, since it uses less digits than its factorization.

151360461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114430 (or 114417 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 151360461 is about 12302.8639348731. The cubic root of 151360461 is about 532.9307920423.

The spelling of 151360461 in words is "one hundred fifty-one million, three hundred sixty thousand, four hundred sixty-one".

Divisors: 1 3 7 9 21 27 49 63 147 189 441 1323 114407 343221 800849 1029663 2402547 3088989 5605943 7207641 16817829 21622923 50453487 151360461