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151880128 = 2643229241
BaseRepresentation
bin10010000110110…
…00000111000000
3101120210022100221
421003120013000
5302340131003
623023152424
73522650131
oct1103300700
9346708327
10151880128
1178806874
1242a45714
13256098ca
1416257c88
15d5017bd
hex90d81c0

151880128 has 56 divisors (see below), whose sum is σ = 311028080. Its totient is φ = 73543680.

The previous prime is 151880119. The next prime is 151880149. The reversal of 151880128 is 821088151.

151880128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 151880093 and 151880102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 630088 + ... + 630328.

Almost surely, 2151880128 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 151880128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155514040).

151880128 is an abundant number, since it is smaller than the sum of its proper divisors (159147952).

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

151880128 is a wasteful number, since it uses less digits than its factorization.

151880128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 34.

The square root of 151880128 is about 12323.9655955378. The cubic root of 151880128 is about 533.5400004615.

The spelling of 151880128 in words is "one hundred fifty-one million, eight hundred eighty thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 43 64 86 172 229 241 344 458 482 688 916 964 1376 1832 1928 2752 3664 3856 7328 7712 9847 10363 14656 15424 19694 20726 39388 41452 55189 78776 82904 110378 157552 165808 220756 315104 331616 441512 630208 663232 883024 1766048 2373127 3532096 4746254 9492508 18985016 37970032 75940064 151880128