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149032104 = 23313631757
BaseRepresentation
bin10001110001000…
…00110010101000
3101101102121121120
420320200302220
5301123011404
622442135240
73456515634
oct1070406250
9341377546
10149032104
1177141031
1241ab1520
1324b504a0
1415b15dc4
15d13c9d9
hex8e20ca8

149032104 has 64 divisors (see below), whose sum is σ = 402407040. Its totient is φ = 45722880.

The previous prime is 149032099. The next prime is 149032123. The reversal of 149032104 is 401230941.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196494 + ... + 197250.

It is an arithmetic number, because the mean of its divisors is an integer number (6287610).

Almost surely, 2149032104 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 149032104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201203520).

149032104 is an abundant number, since it is smaller than the sum of its proper divisors (253374936).

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

149032104 is a wasteful number, since it uses less digits than its factorization.

149032104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 149032104 is about 12207.8705759850. The cubic root of 149032104 is about 530.1839921293.

The spelling of 149032104 in words is "one hundred forty-nine million, thirty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 631 757 1262 1514 1893 2271 2524 3028 3786 4542 5048 6056 7572 8203 9084 9841 15144 16406 18168 19682 24609 29523 32812 39364 49218 59046 65624 78728 98436 118092 196872 236184 477667 955334 1433001 1910668 2866002 3821336 5732004 6209671 11464008 12419342 18629013 24838684 37258026 49677368 74516052 149032104