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149543712 = 2533732371
BaseRepresentation
bin10001110100111…
…01101100100000
3101102101121102000
420322131230200
5301240344322
622501124000
73464046333
oct1072355440
9342347360
10149543712
117746044a
12420b9600
1324c9c306
1415c0a61a
15d1de3ac
hex8e9db20

149543712 has 96 divisors (see below), whose sum is σ = 442330560. Its totient is φ = 49144320.

The previous prime is 149543711. The next prime is 149543729. The reversal of 149543712 is 217345941.

149543712 is a `hidden beast` number, since 1 + 49 + 543 + 71 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (149543711) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 61887 + ... + 64257.

It is an arithmetic number, because the mean of its divisors is an integer number (4607610).

Almost surely, 2149543712 is an apocalyptic number.

149543712 is a gapful number since it is divisible by the number (12) 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 149543712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221165280).

149543712 is an abundant number, since it is smaller than the sum of its proper divisors (292786848).

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

149543712 is a wasteful number, since it uses less digits than its factorization.

149543712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2463 (or 2449 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 149543712 is about 12228.8066466029. The cubic root of 149543712 is about 530.7899836585.

The spelling of 149543712 in words is "one hundred forty-nine million, five hundred forty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 73 96 108 144 146 216 219 288 292 432 438 584 657 864 876 1168 1314 1752 1971 2336 2371 2628 3504 3942 4742 5256 7008 7113 7884 9484 10512 14226 15768 18968 21024 21339 28452 31536 37936 42678 56904 63072 64017 75872 85356 113808 128034 170712 173083 227616 256068 341424 346166 512136 519249 682848 692332 1024272 1038498 1384664 1557747 2048544 2076996 2769328 3115494 4153992 4673241 5538656 6230988 8307984 9346482 12461976 16615968 18692964 24923952 37385928 49847904 74771856 149543712