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151990432 = 2511538147
BaseRepresentation
bin10010000111100…
…11000010100000
3101120222220200021
421003303002200
5302402143212
623025403224
73523616536
oct1103630240
9346886607
10151990432
1178881730
1242a99514
1325647b89
1416286156
15d524307
hex90f30a0

151990432 has 48 divisors (see below), whose sum is σ = 332633952. Its totient is φ = 67774720.

The previous prime is 151990393. The next prime is 151990439. The reversal of 151990432 is 234099151.

It is not an unprimeable number, because it can be changed into a prime (151990439) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14583 + ... + 22729.

It is an arithmetic number, because the mean of its divisors is an integer number (6929874).

Almost surely, 2151990432 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 151990432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166316976).

151990432 is an abundant number, since it is smaller than the sum of its proper divisors (180643520).

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

151990432 is a wasteful number, since it uses less digits than its factorization.

151990432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8221 (or 8213 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

The square root of 151990432 is about 12328.4399661920. The cubic root of 151990432 is about 533.6691315853.

The spelling of 151990432 in words is "one hundred fifty-one million, nine hundred ninety thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 53 88 106 176 212 352 424 583 848 1166 1696 2332 4664 8147 9328 16294 18656 32588 65176 89617 130352 179234 260704 358468 431791 716936 863582 1433872 1727164 2867744 3454328 4749701 6908656 9499402 13817312 18998804 37997608 75995216 151990432