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113704640 = 2657232207
BaseRepresentation
bin1101100011011…
…11111011000000
321220221210102222
412301233323000
5213102022030
615141030212
72550321260
oct661577300
9256853388
10113704640
1159201a85
12320b5368
131a73166a
141115b7a0
159eb03e5
hex6c6fec0

113704640 has 112 divisors (see below), whose sum is σ = 323039232. Its totient is φ = 37272576.

The previous prime is 113704639. The next prime is 113704649. The reversal of 113704640 is 46407311.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (113704649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50417 + ... + 52623.

Almost surely, 2113704640 is an apocalyptic number.

113704640 is a gapful number since it is divisible by the number (10) 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 113704640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161519616).

113704640 is an abundant number, since it is smaller than the sum of its proper divisors (209334592).

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

113704640 is a wasteful number, since it uses less digits than its factorization.

113704640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254 (or 2244 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 113704640 is about 10663.2377822123. The cubic root of 113704640 is about 484.4616409149.

The spelling of 113704640 in words is "one hundred thirteen million, seven hundred four thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 64 70 80 92 112 115 140 160 161 184 224 230 280 320 322 368 448 460 560 644 736 805 920 1120 1288 1472 1610 1840 2207 2240 2576 3220 3680 4414 5152 6440 7360 8828 10304 11035 12880 15449 17656 22070 25760 30898 35312 44140 50761 51520 61796 70624 77245 88280 101522 123592 141248 154490 176560 203044 247184 253805 308980 353120 355327 406088 494368 507610 617960 706240 710654 812176 988736 1015220 1235920 1421308 1624352 1776635 2030440 2471840 2842616 3248704 3553270 4060880 4943680 5685232 7106540 8121760 11370464 14213080 16243520 22740928 28426160 56852320 113704640