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149307264 = 2732129607
BaseRepresentation
bin10001110011000…
…11111110000000
3101101221121001200
420321203332000
5301210313024
622452101200
73462043101
oct1071437600
9341847050
10149307264
1177309837
1242004800
1324c187c2
1415b883a8
15d1942c9
hex8e63f80

149307264 has 48 divisors (see below), whose sum is σ = 429650520. Its totient is φ = 49768704.

The previous prime is 149307251. The next prime is 149307271. The reversal of 149307264 is 462703941.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 63652 + ... + 65955.

Almost surely, 2149307264 is an apocalyptic number.

It is an amenable number.

149307264 is an abundant number, since it is smaller than the sum of its proper divisors (280343256).

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

149307264 is a wasteful number, since it uses less digits than its factorization.

149307264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129627 (or 129612 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 149307264 is about 12219.1351576124. The cubic root of 149307264 is about 530.5100868250.

The spelling of 149307264 in words is "one hundred forty-nine million, three hundred seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 129607 259214 388821 518428 777642 1036856 1166463 1555284 2073712 2332926 3110568 4147424 4665852 6221136 8294848 9331704 12442272 16589696 18663408 24884544 37326816 49769088 74653632 149307264