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113812740 = 223252337743
BaseRepresentation
bin1101100100010…
…10010100000100
321221011021201200
412302022110010
5213114001430
615143222500
72551251366
oct662122404
9257137650
10113812740
1159276218
1232147a30
131a76b922
1411188d36
159ed2460
hex6c8a504

113812740 has 144 divisors (see below), whose sum is σ = 370476288. Its totient is φ = 28207872.

The previous prime is 113812729. The next prime is 113812753. The reversal of 113812740 is 47218311.

113812740 is a `hidden beast` number, since 11 + 381 + 274 + 0 = 666.

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, 152809 + ... + 153551.

It is an arithmetic number, because the mean of its divisors is an integer number (2572752).

Almost surely, 2113812740 is an apocalyptic number.

113812740 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 113812740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185238144).

113812740 is an abundant number, since it is smaller than the sum of its proper divisors (256663548).

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

113812740 is a wasteful number, since it uses less digits than its factorization.

113812740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 113812740 is about 10668.3053949538. The cubic root of 113812740 is about 484.6151195998.

The spelling of 113812740 in words is "one hundred thirteen million, eight hundred twelve thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 37 45 46 60 69 74 90 92 111 115 138 148 180 185 207 222 230 276 333 345 370 414 444 460 555 666 690 740 743 828 851 1035 1110 1332 1380 1486 1665 1702 2070 2220 2229 2553 2972 3330 3404 3715 4140 4255 4458 5106 6660 6687 7430 7659 8510 8916 10212 11145 12765 13374 14860 15318 17020 17089 22290 25530 26748 27491 30636 33435 34178 38295 44580 51060 51267 54982 66870 68356 76590 82473 85445 102534 109964 133740 137455 153180 153801 164946 170890 205068 247419 256335 274910 307602 329892 341780 412365 494838 512670 549820 615204 632293 769005 824730 989676 1025340 1237095 1264586 1538010 1649460 1896879 2474190 2529172 3076020 3161465 3793758 4948380 5690637 6322930 7587516 9484395 11381274 12645860 18968790 22762548 28453185 37937580 56906370 113812740