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113452220 = 22571773653
BaseRepresentation
bin1101100001100…
…10010010111100
321220110222012002
412300302102330
5213020432340
615131401432
72545220330
oct660622274
9256428162
10113452220
115904a372
1231bb3278
131a6737bb
14110d37c0
159e60715
hex6c324bc

113452220 has 96 divisors (see below), whose sum is σ = 292699008. Its totient is φ = 36052992.

The previous prime is 113452193. The next prime is 113452223. The reversal of 113452220 is 22254311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 113452192 and 113452201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113452223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173414 + ... + 174066.

It is an arithmetic number, because the mean of its divisors is an integer number (3048948).

Almost surely, 2113452220 is an apocalyptic number.

113452220 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 113452220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146349504).

113452220 is an abundant number, since it is smaller than the sum of its proper divisors (179246788).

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

113452220 is a wasteful number, since it uses less digits than its factorization.

113452220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 113452220 is about 10651.3952137736. The cubic root of 113452220 is about 484.1028797990.

The spelling of 113452220 in words is "one hundred thirteen million, four hundred fifty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 73 85 119 140 146 170 238 292 340 365 476 511 595 653 730 1022 1190 1241 1306 1460 2044 2380 2482 2555 2612 3265 4571 4964 5110 6205 6530 8687 9142 10220 11101 12410 13060 17374 18284 22202 22855 24820 34748 43435 44404 45710 47669 55505 77707 86870 91420 95338 111010 155414 173740 190676 222020 238345 310828 333683 388535 476690 667366 777070 810373 953380 1334732 1554140 1620746 1668415 3241492 3336830 4051865 5672611 6673660 8103730 11345222 16207460 22690444 28363055 56726110 113452220