Search a number
-
+
112903488 = 2632316323
BaseRepresentation
bin1101011101011…
…00010101000000
321212110002110200
412232230111000
5212400402423
615111525200
72540443455
oct656542500
9255402420
10112903488
1158805075
1231989800
131a510ac9
1410dcd82c
159da2d43
hex6bac540

112903488 has 84 divisors (see below), whose sum is σ = 334109568. Its totient is φ = 36414720.

The previous prime is 112903487. The next prime is 112903493. The reversal of 112903488 is 884309211.

It is a super-2 number, since 2×1129034882 = 25494395205132288, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112903487) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14695 + ... + 21017.

Almost surely, 2112903488 is an apocalyptic number.

112903488 is a gapful number since it is divisible by the number (18) 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 112903488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167054784).

112903488 is an abundant number, since it is smaller than the sum of its proper divisors (221206080).

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

112903488 is a wasteful number, since it uses less digits than its factorization.

112903488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6372 (or 6359 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 112903488 is about 10625.6053004052. The cubic root of 112903488 is about 483.3211346373.

The spelling of 112903488 in words is "one hundred twelve million, nine hundred three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 144 186 192 248 279 288 372 496 558 576 744 992 1116 1488 1984 2232 2976 4464 5952 6323 8928 12646 17856 18969 25292 37938 50584 56907 75876 101168 113814 151752 196013 202336 227628 303504 392026 404672 455256 588039 607008 784052 910512 1176078 1214016 1568104 1764117 1821024 2352156 3136208 3528234 3642048 4704312 6272416 7056468 9408624 12544832 14112936 18817248 28225872 37634496 56451744 112903488