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113438280 = 23351723271
BaseRepresentation
bin1101100001011…
…10111001001000
321220110021001210
412300232321020
5213020011110
615131213120
72545131564
oct660567110
9256407053
10113438280
115903a94a
1231ba71a0
131a66a357
14110cc6a4
159e5b520
hex6c2ee48

113438280 has 96 divisors (see below), whose sum is σ = 361621440. Its totient is φ = 28462080.

The previous prime is 113438279. The next prime is 113438287. The reversal of 113438280 is 82834311.

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

It is not an unprimeable number, because it can be changed into a prime (113438287) 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 23 ways as a sum of consecutive naturals, for example, 33045 + ... + 36315.

It is an arithmetic number, because the mean of its divisors is an integer number (3766890).

Almost surely, 2113438280 is an apocalyptic number.

113438280 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 113438280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180810720).

113438280 is an abundant number, since it is smaller than the sum of its proper divisors (248183160).

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

113438280 is a wasteful number, since it uses less digits than its factorization.

113438280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3319 (or 3298 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 113438280 is about 10650.7408193045. The cubic root of 113438280 is about 484.0830515678.

The spelling of 113438280 in words is "one hundred thirteen million, four hundred thirty-eight thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 289 340 408 510 578 680 867 1020 1156 1445 1734 2040 2312 2890 3271 3468 4335 5780 6542 6936 8670 9813 11560 13084 16355 17340 19626 26168 32710 34680 39252 49065 55607 65420 78504 98130 111214 130840 166821 196260 222428 278035 333642 392520 444856 556070 667284 834105 945319 1112140 1334568 1668210 1890638 2224280 2835957 3336420 3781276 4726595 5671914 6672840 7562552 9453190 11343828 14179785 18906380 22687656 28359570 37812760 56719140 113438280