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149940504 = 23337131757
BaseRepresentation
bin10001110111111…
…10100100011000
3101110010202201000
420323332210120
5301341044004
622513425000
73500321220
oct1073764430
9343122630
10149940504
117770157a
124226b160
13250aaabc
1415cb1080
15d26bc39
hex8efe918

149940504 has 128 divisors (see below), whose sum is σ = 480268800. Its totient is φ = 42456960.

The previous prime is 149940487. The next prime is 149940523. The reversal of 149940504 is 405049941.

It is a happy number.

149940504 is a `hidden beast` number, since 149 + 9 + 4 + 0 + 504 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197694 + ... + 198450.

It is an arithmetic number, because the mean of its divisors is an integer number (3752100).

Almost surely, 2149940504 is an apocalyptic number.

149940504 is a gapful number since it is divisible by the number (14) 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 149940504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240134400).

149940504 is an abundant number, since it is smaller than the sum of its proper divisors (330328296).

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

149940504 is a wasteful number, since it uses less digits than its factorization.

149940504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 149940504 is about 12245.0195589881. The cubic root of 149940504 is about 531.2590264856.

The spelling of 149940504 in words is "one hundred forty-nine million, nine hundred forty thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 131 168 189 216 252 262 378 393 504 524 756 757 786 917 1048 1179 1512 1514 1572 1834 2271 2358 2751 3028 3144 3537 3668 4542 4716 5299 5502 6056 6813 7074 7336 8253 9084 9432 10598 11004 13626 14148 15897 16506 18168 20439 21196 22008 24759 27252 28296 31794 33012 40878 42392 47691 49518 54504 63588 66024 81756 95382 99036 99167 127176 143073 163512 190764 198072 198334 286146 297501 381528 396668 572292 595002 694169 793336 892503 1144584 1190004 1388338 1785006 2082507 2380008 2677509 2776676 3570012 4165014 5355018 5553352 6247521 7140024 8330028 10710036 12495042 16660056 18742563 21420072 24990084 37485126 49980168 74970252 149940504