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113402328 = 233132315803
BaseRepresentation
bin1101100001001…
…10000111011000
321220101102202020
412300212013120
5213012333303
615130334440
72544622014
oct660460730
9256342666
10113402328
1159015936
1231b8a420
131a656b90
14110bd544
159e50a53
hex6c261d8

113402328 has 64 divisors (see below), whose sum is σ = 318608640. Its totient is φ = 33373824.

The previous prime is 113402323. The next prime is 113402329. The reversal of 113402328 is 823204311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 113402298 and 113402307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113402323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 726 + ... + 15077.

It is an arithmetic number, because the mean of its divisors is an integer number (4978260).

Almost surely, 2113402328 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 113402328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159304320).

113402328 is an abundant number, since it is smaller than the sum of its proper divisors (205206312).

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

113402328 is a wasteful number, since it uses less digits than its factorization.

113402328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15848 (or 15844 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 113402328 is about 10649.0529156353. The cubic root of 113402328 is about 484.0319060086.

Adding to 113402328 its reverse (823204311), we get a palindrome (936606639).

The spelling of 113402328 in words is "one hundred thirteen million, four hundred two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 39 46 52 69 78 92 104 138 156 184 276 299 312 552 598 897 1196 1794 2392 3588 7176 15803 31606 47409 63212 94818 126424 189636 205439 363469 379272 410878 616317 726938 821756 1090407 1232634 1453876 1643512 2180814 2465268 2907752 4361628 4725097 4930536 8723256 9450194 14175291 18900388 28350582 37800776 56701164 113402328