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113150928 = 243111911279
BaseRepresentation
bin1101011111010…
…00101111010000
321212220122220010
412233220233100
5212431312203
615121114520
72542524042
oct657505720
9255818803
10113150928
1158963a70
1231a88a40
131a599617
1411055a92
159e01303
hex6be8bd0

113150928 has 80 divisors (see below), whose sum is σ = 335692800. Its totient is φ = 32480640.

The previous prime is 113150927. The next prime is 113150941. The reversal of 113150928 is 829051311.

It is a super-2 number, since 2×1131509282 = 25606265014522368, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113150895 and 113150904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113150927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4393 + ... + 15671.

It is an arithmetic number, because the mean of its divisors is an integer number (4196160).

Almost surely, 2113150928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113150928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167846400).

113150928 is an abundant number, since it is smaller than the sum of its proper divisors (222541872).

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

113150928 is a wasteful number, since it uses less digits than its factorization.

113150928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11320 (or 11314 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 113150928 is about 10637.2424998211. The cubic root of 113150928 is about 483.6739602319.

The spelling of 113150928 in words is "one hundred thirteen million, one hundred fifty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 132 152 176 209 228 264 304 418 456 528 627 836 912 1254 1672 2508 3344 5016 10032 11279 22558 33837 45116 67674 90232 124069 135348 180464 214301 248138 270696 372207 428602 496276 541392 642903 744414 857204 992552 1285806 1488828 1714408 1985104 2357311 2571612 2977656 3428816 4714622 5143224 5955312 7071933 9429244 10286448 14143866 18858488 28287732 37716976 56575464 113150928