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113788890 = 23251578053
BaseRepresentation
bin1101100100001…
…00011111011010
321221010002000100
412302010133122
5213112221030
615142520230
72551122015
oct662043732
9257102010
10113788890
115925a306
1232136076
131a760b07
141118037c
159eca360
hex6c847da

113788890 has 48 divisors (see below), whose sum is σ = 297772488. Its totient is φ = 30146688.

The previous prime is 113788859. The next prime is 113788897. The reversal of 113788890 is 98887311.

It can be written as a sum of positive squares in 4 ways, for example, as 94420089 + 19368801 = 9717^2 + 4401^2 .

It is a super-2 number, since 2×1137888902 = 25895822974864200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (113788897) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10104 + ... + 18156.

Almost surely, 2113788890 is an apocalyptic number.

113788890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113788890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148886244).

113788890 is an abundant number, since it is smaller than the sum of its proper divisors (183983598).

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

113788890 is a wasteful number, since it uses less digits than its factorization.

113788890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8223 (or 8220 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The square root of 113788890 is about 10667.1875393658. The cubic root of 113788890 is about 484.5812661020.

The spelling of 113788890 in words is "one hundred thirteen million, seven hundred eighty-eight thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 157 314 471 785 942 1413 1570 2355 2826 4710 7065 8053 14130 16106 24159 40265 48318 72477 80530 120795 144954 241590 362385 724770 1264321 2528642 3792963 6321605 7585926 11378889 12643210 18964815 22757778 37929630 56894445 113788890