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113561328 = 24319239521
BaseRepresentation
bin1101100010011…
…00111011110000
321220200111212010
412301030323300
5213032430303
615134002520
72546153406
oct661147360
9256614763
10113561328
1159114341
1232046440
131a6b136a
1411121476
159e82c03
hex6c4cef0

113561328 has 80 divisors (see below), whose sum is σ = 310694400. Its totient is φ = 35642880.

The previous prime is 113561297. The next prime is 113561387. The reversal of 113561328 is 823165311.

It is a junction number, because it is equal to n+sod(n) for n = 113561295 and 113561304.

It is a congruent number.

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, 217708 + ... + 218228.

It is an arithmetic number, because the mean of its divisors is an integer number (3883680).

Almost surely, 2113561328 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 113561328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155347200).

113561328 is an abundant number, since it is smaller than the sum of its proper divisors (197133072).

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

113561328 is a wasteful number, since it uses less digits than its factorization.

113561328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 784 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 113561328 is about 10656.5157532845. The cubic root of 113561328 is about 484.2580187457.

The spelling of 113561328 in words is "one hundred thirteen million, five hundred sixty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 239 304 456 478 521 717 912 956 1042 1434 1563 1912 2084 2868 3126 3824 4168 4541 5736 6252 8336 9082 9899 11472 12504 13623 18164 19798 25008 27246 29697 36328 39596 54492 59394 72656 79192 108984 118788 124519 158384 217968 237576 249038 373557 475152 498076 747114 996152 1494228 1992304 2365861 2988456 4731722 5976912 7097583 9463444 14195166 18926888 28390332 37853776 56780664 113561328