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152037460 = 225172391871
BaseRepresentation
bin10010000111111…
…10100001010100
3101121002022012001
421003332201110
5302410144320
623030405044
73524203621
oct1103764124
9347068161
10152037460
1178903aa3
1242b00784
13256633c3
1416299348
15d53320a
hex90fe854

152037460 has 48 divisors (see below), whose sum is σ = 339655680. Its totient is φ = 56967680.

The previous prime is 152037427. The next prime is 152037463. The reversal of 152037460 is 64730251.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152037463) 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, 80325 + ... + 82195.

It is an arithmetic number, because the mean of its divisors is an integer number (7076160).

Almost surely, 2152037460 is an apocalyptic number.

152037460 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 152037460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169827840).

152037460 is an abundant number, since it is smaller than the sum of its proper divisors (187618220).

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

152037460 is a wasteful number, since it uses less digits than its factorization.

152037460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 152037460 is about 12330.3471159574. The cubic root of 152037460 is about 533.7241675143.

The spelling of 152037460 in words is "one hundred fifty-two million, thirty-seven thousand, four hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 239 340 478 956 1195 1871 2390 3742 4063 4780 7484 8126 9355 16252 18710 20315 31807 37420 40630 63614 81260 127228 159035 318070 447169 636140 894338 1788676 2235845 4471690 7601873 8943380 15203746 30407492 38009365 76018730 152037460