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112538432 = 2631131433
BaseRepresentation
bin1101011010100…
…11001101000000
321211202112201002
412231103031000
5212302212212
615100031132
72534363246
oct655231500
9254675632
10112538432
1158585876
12318324a8
131a4138b6
1410d36796
159d2eac2
hex6b53340

112538432 has 56 divisors (see below), whose sum is σ = 232818432. Its totient is φ = 53913600.

The previous prime is 112538411. The next prime is 112538443. The reversal of 112538432 is 234835211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 112538395 and 112538404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 259688 + ... + 260120.

It is an arithmetic number, because the mean of its divisors is an integer number (4157472).

Almost surely, 2112538432 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 112538432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116409216).

112538432 is an abundant number, since it is smaller than the sum of its proper divisors (120280000).

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

112538432 is a wasteful number, since it uses less digits than its factorization.

112538432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 597 counting only the distinct ones).

The product of its digits is 5760, while the sum is 29.

The square root of 112538432 is about 10608.4132649515. The cubic root of 112538432 is about 482.7996574339.

The spelling of 112538432 in words is "one hundred twelve million, five hundred thirty-eight thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 131 248 262 433 496 524 866 992 1048 1732 1984 2096 3464 4061 4192 6928 8122 8384 13423 13856 16244 26846 27712 32488 53692 56723 64976 107384 113446 129952 214768 226892 259904 429536 453784 859072 907568 1758413 1815136 3516826 3630272 7033652 14067304 28134608 56269216 112538432