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151840944 = 24322514201
BaseRepresentation
bin10010000110011…
…10100010110000
3101120201022121200
421003032202300
5302332402234
623022251200
73522424653
oct1103164260
9346638550
10151840944
117878a392
1242a26b00
13255c4b18
141624789a
15d4e4d99
hex90ce8b0

151840944 has 60 divisors (see below), whose sum is σ = 426738312. Its totient is φ = 50400000.

The previous prime is 151840943. The next prime is 151840993. The reversal of 151840944 is 449048151.

151840944 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1518409442 = 46111344549622272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 151840899 and 151840908.

It is not an unprimeable number, because it can be changed into a prime (151840943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34044 + ... + 38244.

Almost surely, 2151840944 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 151840944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213369156).

151840944 is an abundant number, since it is smaller than the sum of its proper divisors (274897368).

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

151840944 is a wasteful number, since it uses less digits than its factorization.

151840944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4466 (or 4457 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 151840944 is about 12322.3757449609. The cubic root of 151840944 is about 533.4941133315.

The spelling of 151840944 in words is "one hundred fifty-one million, eight hundred forty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 251 502 753 1004 1506 2008 2259 3012 4016 4201 4518 6024 8402 9036 12048 12603 16804 18072 25206 33608 36144 37809 50412 67216 75618 100824 151236 201648 302472 604944 1054451 2108902 3163353 4217804 6326706 8435608 9490059 12653412 16871216 18980118 25306824 37960236 50613648 75920472 151840944