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149816064 = 2831910267
BaseRepresentation
bin10001110111000…
…00001100000000
3101102220110000010
420323200030000
5301323103224
622511024520
73466262346
oct1073401400
9342813003
10149816064
1177627032
124220b140
1325066278
1415c7b996
15d244e29
hex8ee0300

149816064 has 72 divisors (see below), whose sum is σ = 419755840. Its totient is φ = 47305728.

The previous prime is 149816063. The next prime is 149816077. The reversal of 149816064 is 460618941.

It is not an unprimeable number, because it can be changed into a prime (149816063) 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, 9459 + ... + 19725.

Almost surely, 2149816064 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 149816064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209877920).

149816064 is an abundant number, since it is smaller than the sum of its proper divisors (269939776).

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

149816064 is a wasteful number, since it uses less digits than its factorization.

149816064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10305 (or 10291 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 149816064 is about 12239.9372547411. The cubic root of 149816064 is about 531.1120166856.

The spelling of 149816064 in words is "one hundred forty-nine million, eight hundred sixteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 608 768 912 1216 1824 2432 3648 4864 7296 10267 14592 20534 30801 41068 61602 82136 123204 164272 195073 246408 328544 390146 492816 585219 657088 780292 985632 1170438 1314176 1560584 1971264 2340876 2628352 3121168 3942528 4681752 6242336 7885056 9363504 12484672 18727008 24969344 37454016 49938688 74908032 149816064