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151919104 = 29417237
BaseRepresentation
bin10010000111000…
…01101000000000
3101120212021211111
421003201220000
5302342402404
623024053104
73523201561
oct1103415000
9346767744
10151919104
1178833087
1242a64194
132562157c
1416268168
15d50d104
hex90e1a00

151919104 has 40 divisors (see below), whose sum is σ = 310987908. Its totient is φ = 74096640.

The previous prime is 151919101. The next prime is 151919149. The reversal of 151919104 is 401919151.

It can be written as a sum of positive squares in 2 ways, for example, as 145926400 + 5992704 = 12080^2 + 2448^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151919101) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17374 + ... + 24610.

Almost surely, 2151919104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151919104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155493954).

151919104 is an abundant number, since it is smaller than the sum of its proper divisors (159068804).

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

151919104 is an frugal number, since it uses more digits than its factorization.

151919104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7296 (or 7280 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 31.

The square root of 151919104 is about 12325.5468032863. The cubic root of 151919104 is about 533.5856361804.

The spelling of 151919104 in words is "one hundred fifty-one million, nine hundred nineteen thousand, one hundred four".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 512 656 1312 2624 5248 7237 10496 14474 20992 28948 57896 115792 231584 296717 463168 593434 926336 1186868 1852672 2373736 3705344 4747472 9494944 18989888 37979776 75959552 151919104