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113452020 = 223251125209
BaseRepresentation
bin1101100001100…
…10001111110100
321220110221220200
412300302033310
5213020431040
615131400500
72545216623
oct660621764
9256427820
10113452020
115904a200
1231bb3130
131a673696
14110d36ba
159e60630
hex6c323f4

113452020 has 108 divisors (see below), whose sum is σ = 378339780. Its totient is φ = 27498240.

The previous prime is 113452013. The next prime is 113452037. The reversal of 113452020 is 20254311.

It can be written as a sum of positive squares in 2 ways, for example, as 84162276 + 29289744 = 9174^2 + 5412^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 113451984 and 113452002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19176 + ... + 24384.

Almost surely, 2113452020 is an apocalyptic number.

113452020 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 113452020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189169890).

113452020 is an abundant number, since it is smaller than the sum of its proper divisors (264887760).

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

113452020 is a wasteful number, since it uses less digits than its factorization.

113452020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5246 (or 5230 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 113452020 is about 10651.3858253281. The cubic root of 113452020 is about 484.1025953308.

The spelling of 113452020 in words is "one hundred thirteen million, four hundred fifty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 121 132 165 180 198 220 242 330 363 396 484 495 605 660 726 990 1089 1210 1452 1815 1980 2178 2420 3630 4356 5209 5445 7260 10418 10890 15627 20836 21780 26045 31254 46881 52090 57299 62508 78135 93762 104180 114598 156270 171897 187524 229196 234405 286495 312540 343794 468810 515691 572990 630289 687588 859485 937620 1031382 1145980 1260578 1718970 1890867 2062764 2521156 2578455 3151445 3437940 3781734 5156910 5672601 6302890 7563468 9454335 10313820 11345202 12605780 18908670 22690404 28363005 37817340 56726010 113452020