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113828528 = 2411312673
BaseRepresentation
bin1101100100011…
…10001010110000
321221012002101102
412302032022300
5213120003103
615143423532
72551345412
oct662161260
9257162342
10113828528
1159287070
1232154ba8
131a775b78
14111909b2
159ed6e88
hex6c8e2b0

113828528 has 60 divisors (see below), whose sum is σ = 248972904. Its totient is φ = 49996800.

The previous prime is 113828527. The next prime is 113828573. The reversal of 113828528 is 825828311.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 113828491 and 113828500.

It is not an unprimeable number, because it can be changed into a prime (113828527) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 168800 + ... + 169472.

Almost surely, 2113828528 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 113828528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124486452).

113828528 is an abundant number, since it is smaller than the sum of its proper divisors (135144376).

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

113828528 is a wasteful number, since it uses less digits than its factorization.

113828528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 717 counting only the distinct ones).

The product of its digits is 30720, while the sum is 38.

The square root of 113828528 is about 10669.0453181154. The cubic root of 113828528 is about 484.6375270203.

The spelling of 113828528 in words is "one hundred thirteen million, eight hundred twenty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 176 248 341 496 673 682 961 1346 1364 1922 2692 2728 3844 5384 5456 7403 7688 10571 10768 14806 15376 20863 21142 29612 41726 42284 59224 83452 84568 118448 166904 169136 229493 333808 458986 646753 917972 1293506 1835944 2587012 3671888 5174024 7114283 10348048 14228566 28457132 56914264 113828528