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113803060 = 2257711072
BaseRepresentation
bin1101100100001…
…11111100110100
321221010210110011
412302013330310
5213113144220
615143110004
72551211230
oct662077464
9257123404
10113803060
1159269a18
1232142304
131a7673b7
14111855c0
159ece65a
hex6c87f34

113803060 has 72 divisors (see below), whose sum is σ = 279586944. Its totient is φ = 38109120.

The previous prime is 113803021. The next prime is 113803093. The reversal of 113803060 is 60308311.

113803060 = 1332 + 1342 + ... + 7002.

It is a super-2 number, since 2×1138030602 = 25902272930727200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1063527 + ... + 1063633.

It is an arithmetic number, because the mean of its divisors is an integer number (3883152).

Almost surely, 2113803060 is an apocalyptic number.

113803060 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 113803060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139793472).

113803060 is an abundant number, since it is smaller than the sum of its proper divisors (165783884).

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

113803060 is a wasteful number, since it uses less digits than its factorization.

113803060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 113803060 is about 10667.8517050060. The cubic root of 113803060 is about 484.6013800502.

The spelling of 113803060 in words is "one hundred thirteen million, eight hundred three thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 71 107 140 142 214 284 355 428 497 535 710 749 994 1070 1420 1498 1988 2140 2485 2996 3745 4970 7490 7597 9940 11449 14980 15194 22898 30388 37985 45796 53179 57245 75970 80143 106358 114490 151940 160286 212716 228980 265895 320572 400715 531790 801430 812879 1063580 1602860 1625758 3251516 4064395 5690153 8128790 11380306 16257580 22760612 28450765 56901530 113803060