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149531360 = 2551184961
BaseRepresentation
bin10001110100110…
…10101011100000
3101102100222110112
420322122223200
5301240000420
622500550452
73463665326
oct1072325340
9342328415
10149531360
1177452140
12420b2428
1324c967c4
1415c05d16
15d1da8c5
hex8e9aae0

149531360 has 48 divisors (see below), whose sum is σ = 385387632. Its totient is φ = 54374400.

The previous prime is 149531359. The next prime is 149531363. The reversal of 149531360 is 63135941.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149531363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40721 + ... + 44240.

It is an arithmetic number, because the mean of its divisors is an integer number (8028909).

Almost surely, 2149531360 is an apocalyptic number.

149531360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149531360 is an abundant number, since it is smaller than the sum of its proper divisors (235856272).

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

149531360 is a wasteful number, since it uses less digits than its factorization.

149531360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84987 (or 84979 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 149531360 is about 12228.3015991592. The cubic root of 149531360 is about 530.7753692061.

The spelling of 149531360 in words is "one hundred forty-nine million, five hundred thirty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 84961 169922 339844 424805 679688 849610 934571 1359376 1699220 1869142 2718752 3398440 3738284 4672855 6796880 7476568 9345710 13593760 14953136 18691420 29906272 37382840 74765680 149531360