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146870152 = 2311131929233
BaseRepresentation
bin10001100000100…
…00111110001000
3101020100202222021
420300100332020
5300044321102
622323534224
73432242602
oct1060207610
9336322867
10146870152
11759a47a0
124122a374
1324574420
1415712172
15cd62137
hex8c10f88

146870152 has 128 divisors (see below), whose sum is σ = 353808000. Its totient is φ = 56125440.

The previous prime is 146870147. The next prime is 146870177. The reversal of 146870152 is 251078641.

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, 630228 + ... + 630460.

It is an arithmetic number, because the mean of its divisors is an integer number (2764125).

Almost surely, 2146870152 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 146870152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176904000).

146870152 is an abundant number, since it is smaller than the sum of its proper divisors (206937848).

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

146870152 is a wasteful number, since it uses less digits than its factorization.

146870152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 146870152 is about 12118.9996286822. Note that the first 3 decimals coincide. The cubic root of 146870152 is about 527.6077684623.

The spelling of 146870152 in words is "one hundred forty-six million, eight hundred seventy thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 13 19 22 26 29 38 44 52 58 76 88 104 116 143 152 209 232 233 247 286 319 377 418 466 494 551 572 638 754 836 932 988 1102 1144 1276 1508 1672 1864 1976 2204 2552 2563 2717 3016 3029 4147 4408 4427 5126 5434 6058 6061 6757 7163 8294 8854 10252 10868 12116 12122 13514 14326 16588 17708 20504 21736 24232 24244 27028 28652 33176 33319 35416 48488 48697 54056 57304 57551 66638 74327 78793 87841 97394 115102 128383 133276 148654 157586 175682 194788 230204 256766 266552 297308 315172 351364 389576 460408 513532 594616 630344 633061 702728 966251 1027064 1266122 1412213 1668979 1932502 2532244 2824426 3337958 3865004 5064488 5648852 6675916 7730008 11297704 13351832 18358769 36717538 73435076 146870152