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113708880 = 2433561863
BaseRepresentation
bin1101100011100…
…00111101010000
321220222000021000
412301300331100
5213102141010
615141102000
72550336525
oct661607520
9256860230
10113708880
115920518a
12320b7900
131a73357c
141115d14c
159eb17c0
hex6c70f50

113708880 has 160 divisors (see below), whose sum is σ = 398545920. Its totient is φ = 29790720.

The previous prime is 113708873. The next prime is 113708891. The reversal of 113708880 is 88807311.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131329 + ... + 132191.

It is an arithmetic number, because the mean of its divisors is an integer number (2490912).

Almost surely, 2113708880 is an apocalyptic number.

113708880 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 113708880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199272960).

113708880 is an abundant number, since it is smaller than the sum of its proper divisors (284837040).

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

113708880 is a wasteful number, since it uses less digits than its factorization.

113708880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 113708880 is about 10663.4365942692. The cubic root of 113708880 is about 484.4676626329.

The spelling of 113708880 in words is "one hundred thirteen million, seven hundred eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 61 72 80 90 108 120 122 135 144 180 183 216 240 244 270 305 360 366 432 488 540 549 610 720 732 863 915 976 1080 1098 1220 1464 1647 1726 1830 2160 2196 2440 2589 2745 2928 3294 3452 3660 4315 4392 4880 5178 5490 6588 6904 7320 7767 8235 8630 8784 10356 10980 12945 13176 13808 14640 15534 16470 17260 20712 21960 23301 25890 26352 31068 32940 34520 38835 41424 43920 46602 51780 52643 62136 65880 69040 77670 93204 103560 105286 116505 124272 131760 155340 157929 186408 207120 210572 233010 263215 310680 315858 372816 421144 466020 473787 526430 621360 631716 789645 842288 932040 947574 1052860 1263432 1421361 1579290 1864080 1895148 2105720 2368935 2526864 2842722 3158580 3790296 4211440 4737870 5685444 6317160 7106805 7580592 9475740 11370888 12634320 14213610 18951480 22741776 28427220 37902960 56854440 113708880