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112593924 = 2232171923421
BaseRepresentation
bin1101011011000…
…00110000000100
321211212100211100
412231200300010
5212311001144
615101140100
72535014112
oct655406004
9254770740
10112593924
1158613533
123185a630
131a432c31
1410d4cab2
159d41269
hex6b60c04

112593924 has 144 divisors (see below), whose sum is σ = 331793280. Its totient is φ = 31933440.

The previous prime is 112593917. The next prime is 112593961. The reversal of 112593924 is 429395211.

112593924 is a `hidden beast` number, since 11 + 259 + 392 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 267234 + ... + 267654.

It is an arithmetic number, because the mean of its divisors is an integer number (2304120).

Almost surely, 2112593924 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 112593924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165896640).

112593924 is an abundant number, since it is smaller than the sum of its proper divisors (219199356).

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

112593924 is a wasteful number, since it uses less digits than its factorization.

112593924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 485 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 112593924 is about 10611.0284138721. The cubic root of 112593924 is about 482.8789995625.

The spelling of 112593924 in words is "one hundred twelve million, five hundred ninety-three thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 17 18 19 23 34 36 38 46 51 57 68 69 76 92 102 114 138 153 171 204 207 228 276 306 323 342 391 414 421 437 612 646 684 782 828 842 874 969 1173 1263 1292 1311 1564 1684 1748 1938 2346 2526 2622 2907 3519 3789 3876 3933 4692 5052 5244 5814 7038 7157 7429 7578 7866 7999 9683 11628 14076 14314 14858 15156 15732 15998 19366 21471 22287 23997 28628 29049 29716 31996 38732 42942 44574 47994 58098 64413 66861 71991 85884 87147 89148 95988 116196 128826 133722 135983 143982 164611 174294 183977 257652 267444 271966 287964 329222 348588 367954 407949 493833 543932 551931 658444 735908 815898 987666 1103862 1223847 1481499 1631796 1655793 1975332 2207724 2447694 2962998 3127609 3311586 4895388 5925996 6255218 6623172 9382827 12510436 18765654 28148481 37531308 56296962 112593924