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113310440 = 23517281593
BaseRepresentation
bin1101100000011…
…11101011101000
321220012202200222
412300033223220
5213001413230
615124345212
72544060065
oct660175350
9256182628
10113310440
1158a628a1
1231b45208
131a6240c9
1411097c6c
159e336e5
hex6c0fae8

113310440 has 64 divisors (see below), whose sum is σ = 271362960. Its totient is φ = 42434560.

The previous prime is 113310427. The next prime is 113310469. The reversal of 113310440 is 44013311.

It can be written as a sum of positive squares in 8 ways, for example, as 81252196 + 32058244 = 9014^2 + 5662^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190784 + ... + 191376.

Almost surely, 2113310440 is an apocalyptic number.

113310440 is a gapful number since it is divisible by the number (10) 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 113310440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135681480).

113310440 is an abundant number, since it is smaller than the sum of its proper divisors (158052520).

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

113310440 is a wasteful number, since it uses less digits than its factorization.

113310440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 113310440 is about 10644.7376670353. The cubic root of 113310440 is about 483.9011363766.

Adding to 113310440 its reverse (44013311), we get a palindrome (157323751).

The spelling of 113310440 in words is "one hundred thirteen million, three hundred ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 281 340 562 593 680 1124 1186 1405 2248 2372 2810 2965 4744 4777 5620 5930 9554 10081 11240 11860 19108 20162 23720 23885 38216 40324 47770 50405 80648 95540 100810 166633 191080 201620 333266 403240 666532 833165 1333064 1666330 2832761 3332660 5665522 6665320 11331044 14163805 22662088 28327610 56655220 113310440