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145681956 = 223371311471
BaseRepresentation
bin10001010111011…
…10111000100100
3101011010102002000
420223232320210
5244243310311
622242245300
73416163510
oct1053567044
9334112060
10145681956
1175263012
1240956830
1324249654
14154c3140
15cbca056
hex8aeee24

145681956 has 96 divisors (see below), whose sum is σ = 435240960. Its totient is φ = 41277600.

The previous prime is 145681933. The next prime is 145681961. The reversal of 145681956 is 659186541.

145681956 is a `hidden beast` number, since 1 + 456 + 8 + 195 + 6 = 666.

145681956 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 98301 + ... + 99771.

It is an arithmetic number, because the mean of its divisors is an integer number (4533760).

Almost surely, 2145681956 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 145681956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217620480).

145681956 is an abundant number, since it is smaller than the sum of its proper divisors (289559004).

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

145681956 is a wasteful number, since it uses less digits than its factorization.

145681956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1622 (or 1614 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 145681956 is about 12069.8780441229. The cubic root of 145681956 is about 526.1811122433.

The spelling of 145681956 in words is "one hundred forty-five million, six hundred eighty-one thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 131 189 252 262 378 393 524 756 786 917 1179 1471 1572 1834 2358 2751 2942 3537 3668 4413 4716 5502 5884 7074 8253 8826 10297 11004 13239 14148 16506 17652 20594 24759 26478 30891 33012 39717 41188 49518 52956 61782 79434 92673 99036 123564 158868 185346 192701 278019 370692 385402 556038 578103 770804 1112076 1156206 1348907 1734309 2312412 2697814 3468618 4046721 5202927 5395628 6937236 8093442 10405854 12140163 16186884 20811708 24280326 36420489 48560652 72840978 145681956