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113210040 = 23352334049
BaseRepresentation
bin1101011111101…
…11001010111000
321220000122222110
412233313022320
5212440210130
615122252320
72543161266
oct657671270
9256018873
10113210040
11589a4419
1231ab70a0
131a5ba4b8
141106d436
159e13ab0
hex6bf72b8

113210040 has 64 divisors (see below), whose sum is σ = 341172000. Its totient is φ = 30052352.

The previous prime is 113210039. The next prime is 113210057. The reversal of 113210040 is 40012311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 113209998 and 113210025.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25936 + ... + 29984.

Almost surely, 2113210040 is an apocalyptic number.

113210040 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 113210040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170586000).

113210040 is an abundant number, since it is smaller than the sum of its proper divisors (227961960).

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

113210040 is a wasteful number, since it uses less digits than its factorization.

113210040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4296 (or 4292 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 113210040 is about 10640.0206766716. The cubic root of 113210040 is about 483.7581721139.

Adding to 113210040 its reverse (40012311), we get a palindrome (153222351).

The spelling of 113210040 in words is "one hundred thirteen million, two hundred ten thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 233 466 699 932 1165 1398 1864 2330 2796 3495 4049 4660 5592 6990 8098 9320 12147 13980 16196 20245 24294 27960 32392 40490 48588 60735 80980 97176 121470 161960 242940 485880 943417 1886834 2830251 3773668 4717085 5660502 7547336 9434170 11321004 14151255 18868340 22642008 28302510 37736680 56605020 113210040