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151902240 = 2535753853
BaseRepresentation
bin10010000110111…
…01100000100000
3101120211102200220
421003131200200
5302341332430
623023443040
73523101450
oct1103354040
9346742626
10151902240
1178821446
1242a56480
13256169a9
1416261d60
15d508110
hex90dd820

151902240 has 192 divisors, whose sum is σ = 557819136. Its totient is φ = 34025472.

The previous prime is 151902221. The next prime is 151902251. The reversal of 151902240 is 42209151.

151902240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 151902240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177654 + ... + 178506.

It is an arithmetic number, because the mean of its divisors is an integer number (2905308).

Almost surely, 2151902240 is an apocalyptic number.

151902240 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 151902240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278909568).

151902240 is an abundant number, since it is smaller than the sum of its proper divisors (405916896).

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

151902240 is a wasteful number, since it uses less digits than its factorization.

151902240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 151902240 is about 12324.8626767198. The cubic root of 151902240 is about 533.5658916345.

The spelling of 151902240 in words is "one hundred fifty-one million, nine hundred two thousand, two hundred forty".