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113260680 = 23345132689
BaseRepresentation
bin1101100000000…
…11100010001000
321220010020110000
412300003202020
5212443320210
615123323000
72543462031
oct660034210
9256106400
10113260680
1158a29475
1231b20460
131a607570
1411083a88
159e23ac0
hex6c03888

113260680 has 160 divisors (see below), whose sum is σ = 410117400. Its totient is φ = 27869184.

The previous prime is 113260673. The next prime is 113260709. The reversal of 113260680 is 86062311.

It can be written as a sum of positive squares in 4 ways, for example, as 37675044 + 75585636 = 6138^2 + 8694^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40776 + ... + 43464.

Almost surely, 2113260680 is an apocalyptic number.

113260680 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 113260680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205058700).

113260680 is an abundant number, since it is smaller than the sum of its proper divisors (296856720).

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

113260680 is a wasteful number, since it uses less digits than its factorization.

113260680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2725 (or 2712 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 113260680 is about 10642.4001052394. The cubic root of 113260680 is about 483.8302913419.

The spelling of 113260680 in words is "one hundred thirteen million, two hundred sixty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 81 90 104 108 117 120 130 135 156 162 180 195 216 234 260 270 312 324 351 360 390 405 468 520 540 585 648 702 780 810 936 1053 1080 1170 1404 1560 1620 1755 2106 2340 2689 2808 3240 3510 4212 4680 5265 5378 7020 8067 8424 10530 10756 13445 14040 16134 21060 21512 24201 26890 32268 34957 40335 42120 48402 53780 64536 69914 72603 80670 96804 104871 107560 121005 139828 145206 161340 174785 193608 209742 217809 242010 279656 290412 314613 322680 349570 363015 419484 435618 484020 524355 580824 629226 699140 726030 838968 871236 943839 968040 1048710 1089045 1258452 1398280 1452060 1573065 1742472 1887678 2097420 2178090 2516904 2831517 2904120 3146130 3775356 4194840 4356180 4719195 5663034 6292260 7550712 8712360 9438390 11326068 12584520 14157585 18876780 22652136 28315170 37753560 56630340 113260680