Search a number
-
+
112290688 = 275914869
BaseRepresentation
bin1101011000101…
…10101110000000
321211021221212101
412230112232000
5212221300223
615050440144
72532312046
oct654265600
9254257771
10112290688
1158426724
1231733054
131a357bc3
1410cb0396
159cd14ad
hex6b16b80

112290688 has 32 divisors (see below), whose sum is σ = 227511000. Its totient is φ = 55190016.

The previous prime is 112290683. The next prime is 112290701. The reversal of 112290688 is 886092211.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×1122906882 = 25218397223026688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112290683) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 118 + ... + 14986.

Almost surely, 2112290688 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 112290688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113755500).

112290688 is an abundant number, since it is smaller than the sum of its proper divisors (115220312).

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

112290688 is an equidigital number, since it uses as much as digits as its factorization.

112290688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14942 (or 14930 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 112290688 is about 10596.7300616747. The cubic root of 112290688 is about 482.4451160424.

The spelling of 112290688 in words is "one hundred twelve million, two hundred ninety thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 472 944 1888 3776 7552 14869 29738 59476 118952 237904 475808 877271 951616 1754542 1903232 3509084 7018168 14036336 28072672 56145344 112290688