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112981260 = 22357283463
BaseRepresentation
bin1101011101111…
…11010100001100
321212121001011010
412232333110030
5212410400020
615113325220
72541216300
oct656772414
9255531133
10112981260
1158858547
1231a06810
131a53a322
141100dd00
159dbade0
hex6bbf50c

112981260 has 144 divisors (see below), whose sum is σ = 373234176. Its totient is φ = 25458048.

The previous prime is 112981259. The next prime is 112981289. The reversal of 112981260 is 62189211.

It is a happy number.

It is a super-2 number, since 2×1129812602 = 25529530222375200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 14.

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, 243789 + ... + 244251.

It is an arithmetic number, because the mean of its divisors is an integer number (2591904).

Almost surely, 2112981260 is an apocalyptic number.

112981260 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 112981260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186617088).

112981260 is an abundant number, since it is smaller than the sum of its proper divisors (260252916).

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

112981260 is a wasteful number, since it uses less digits than its factorization.

112981260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 112981260 is about 10629.2643207326. The cubic root of 112981260 is about 483.4320855164.

The spelling of 112981260 in words is "one hundred twelve million, nine hundred eighty-one thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 83 84 98 105 140 147 166 196 210 245 249 294 332 415 420 463 490 498 581 588 735 830 926 980 996 1162 1245 1389 1470 1660 1743 1852 2315 2324 2490 2778 2905 2940 3241 3486 4067 4630 4980 5556 5810 6482 6945 6972 8134 8715 9260 9723 11620 12201 12964 13890 16205 16268 17430 19446 20335 22687 24402 27780 32410 34860 38429 38892 40670 45374 48615 48804 61005 64820 68061 76858 81340 90748 97230 113435 115287 122010 136122 153716 192145 194460 226870 230574 244020 269003 272244 340305 384290 453740 461148 538006 576435 680610 768580 807009 1076012 1152870 1345015 1361220 1614018 1883021 2305740 2690030 3228036 3766042 4035045 5380060 5649063 7532084 8070090 9415105 11298126 16140180 18830210 22596252 28245315 37660420 56490630 112981260