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145562112 = 2932311019
BaseRepresentation
bin10001010110100…
…01101000000000
3101010220022200100
420223101220000
5244230441422
622235522400
73415154223
oct1053215000
9333808610
10145562112
1175190a73
12408b9400
1324206c37
14154915ba
15cba47ac
hex8ad1a00

145562112 has 120 divisors (see below), whose sum is σ = 434079360. Its totient is φ = 46909440.

The previous prime is 145562111. The next prime is 145562113. The reversal of 145562112 is 211265541.

It is an interprime number because it is at equal distance from previous prime (145562111) and next prime (145562113).

It is not an unprimeable number, because it can be changed into a prime (145562111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142339 + ... + 143357.

It is an arithmetic number, because the mean of its divisors is an integer number (3617328).

Almost surely, 2145562112 is an apocalyptic number.

145562112 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 145562112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217039680).

145562112 is an abundant number, since it is smaller than the sum of its proper divisors (288517248).

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

145562112 is a wasteful number, since it uses less digits than its factorization.

145562112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1055 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 145562112 is about 12064.9124323387. The cubic root of 145562112 is about 526.0367865476.

The spelling of 145562112 in words is "one hundred forty-five million, five hundred sixty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 496 512 558 576 744 768 992 1019 1116 1152 1488 1536 1984 2038 2232 2304 2976 3057 3968 4076 4464 4608 5952 6114 7936 8152 8928 9171 11904 12228 15872 16304 17856 18342 23808 24456 31589 32608 35712 36684 47616 48912 63178 65216 71424 73368 94767 97824 126356 130432 142848 146736 189534 195648 252712 260864 284301 293472 379068 391296 505424 521728 568602 586944 758136 782592 1010848 1137204 1173888 1516272 1565184 2021696 2274408 2347776 3032544 4043392 4548816 4695552 6065088 8086784 9097632 12130176 16173568 18195264 24260352 36390528 48520704 72781056 145562112