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113490 = 23251397
BaseRepresentation
bin11011101101010010
312202200100
4123231102
512112430
62233230
7651606
oct335522
9182610
10113490
11782a3
1255816
133c870
142d506
1523960
hex1bb52

113490 has 48 divisors (see below), whose sum is σ = 321048. Its totient is φ = 27648.

The previous prime is 113489. The next prime is 113497. The reversal of 113490 is 94311.

It can be written as a sum of positive squares in 4 ways, for example, as 68121 + 45369 = 261^2 + 213^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (113497) 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, 1122 + ... + 1218.

2113490 is an apocalyptic number.

113490 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 113490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160524).

113490 is an abundant number, since it is smaller than the sum of its proper divisors (207558).

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

113490 is a wasteful number, since it uses less digits than its factorization.

113490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 113490 is about 336.8827689271. The cubic root of 113490 is about 48.4156609839.

The spelling of 113490 in words is "one hundred thirteen thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 97 117 130 194 195 234 291 390 485 582 585 873 970 1170 1261 1455 1746 2522 2910 3783 4365 6305 7566 8730 11349 12610 18915 22698 37830 56745 113490