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149953076 = 227133197137
BaseRepresentation
bin10001111000000…
…01101000110100
3101110011101221122
420330001220310
5301341444301
622514003112
73500402660
oct1074015064
9343141848
10149953076
117770aa69
1242276498
13250b3740
1415cb58a0
15d27081b
hex8f01a34

149953076 has 96 divisors (see below), whose sum is σ = 339290112. Its totient is φ = 56401920.

The previous prime is 149953033. The next prime is 149953099. The reversal of 149953076 is 670359941.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1094480 + ... + 1094616.

It is an arithmetic number, because the mean of its divisors is an integer number (3534272).

Almost surely, 2149953076 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 149953076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169645056).

149953076 is an abundant number, since it is smaller than the sum of its proper divisors (189337036).

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

149953076 is a wasteful number, since it uses less digits than its factorization.

149953076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 44.

The square root of 149953076 is about 12245.5328997966. The cubic root of 149953076 is about 531.2738741566.

The spelling of 149953076 in words is "one hundred forty-nine million, nine hundred fifty-three thousand, seventy-six".

Divisors: 1 2 4 7 13 14 26 28 31 52 62 91 97 124 137 182 194 217 274 364 388 403 434 548 679 806 868 959 1261 1358 1612 1781 1918 2522 2716 2821 3007 3562 3836 4247 5044 5642 6014 7124 8494 8827 11284 12028 12467 13289 16988 17654 21049 24934 26578 29729 35308 39091 42098 49868 53156 55211 59458 78182 84196 93023 110422 118916 156364 172757 186046 220844 273637 345514 372092 386477 411959 547274 691028 772954 823918 1094548 1209299 1545908 1647836 2418598 2883713 4837196 5355467 5767426 10710934 11534852 21421868 37488269 74976538 149953076