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149931376 = 2472312199
BaseRepresentation
bin10001110111111…
…00010101110000
3101110010022011221
420323330111300
5301340301001
622513314424
73500252500
oct1073742560
9343108157
10149931376
11776a5731
1242265a14
13250a68ba
1415caba00
15d2691a1
hex8efc570

149931376 has 90 divisors (see below), whose sum is σ = 350926200. Its totient is φ = 61871040.

The previous prime is 149931361. The next prime is 149931401. The reversal of 149931376 is 673139941.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 753325 + ... + 753523.

It is an arithmetic number, because the mean of its divisors is an integer number (3899180).

Almost surely, 2149931376 is an apocalyptic number.

149931376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149931376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175463100).

149931376 is an abundant number, since it is smaller than the sum of its proper divisors (200994824).

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

149931376 is a wasteful number, since it uses less digits than its factorization.

149931376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 239 counting only the distinct ones).

The product of its digits is 122472, while the sum is 43.

The square root of 149931376 is about 12244.6468303500. The cubic root of 149931376 is about 531.2482456966.

The spelling of 149931376 in words is "one hundred forty-nine million, nine hundred thirty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 31 49 56 62 98 112 124 196 199 217 248 392 398 434 496 784 796 868 961 1393 1519 1592 1736 1922 2786 3038 3184 3472 3844 5572 6076 6169 6727 7688 9751 11144 12152 12338 13454 15376 19502 22288 24304 24676 26908 39004 43183 47089 49352 53816 78008 86366 94178 98704 107632 156016 172732 188356 191239 302281 345464 376712 382478 604562 690928 753424 764956 1209124 1338673 1529912 2418248 2677346 3059824 4836496 5354692 9370711 10709384 18741422 21418768 37482844 74965688 149931376