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149336064 = 212324051
BaseRepresentation
bin10001110011010…
…11000000000000
3101102000001120100
420321223000000
5301212223224
622452442400
73462223053
oct1071530000
9342001510
10149336064
1177329439
1242019400
1324c28947
1415b94a9a
15d19cac9
hex8e6b000

149336064 has 78 divisors (see below), whose sum is σ = 431469116. Its totient is φ = 49766400.

The previous prime is 149336039. The next prime is 149336081. The reversal of 149336064 is 460633941.

149336064 is a `hidden beast` number, since 1 + 49 + 3 + 3 + 606 + 4 = 666.

It is a super-2 number, since 2×1493360642 = 44602520022024192, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34839 + ... + 38889.

Almost surely, 2149336064 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 149336064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215734558).

149336064 is an abundant number, since it is smaller than the sum of its proper divisors (282133052).

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

149336064 is an equidigital number, since it uses as much as digits as its factorization.

149336064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4081 (or 4056 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 149336064 is about 12220.3135802646. The cubic root of 149336064 is about 530.5441948066.

The spelling of 149336064 in words is "one hundred forty-nine million, three hundred thirty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4051 4096 4608 6144 8102 9216 12153 12288 16204 18432 24306 32408 36459 36864 48612 64816 72918 97224 129632 145836 194448 259264 291672 388896 518528 583344 777792 1037056 1166688 1555584 2074112 2333376 3111168 4148224 4666752 6222336 8296448 9333504 12444672 16592896 18667008 24889344 37334016 49778688 74668032 149336064