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112830328 = 23133179443
BaseRepresentation
bin1101011100110…
…10011101111000
321212022101010001
412232122131320
5212341032303
615110202344
72540020252
oct656323570
9255271101
10112830328
1158765106
12319533b4
131a4b6710
1410db0cd2
159d8b31d
hex6b9a778

112830328 has 64 divisors (see below), whose sum is σ = 238694400. Its totient is φ = 49645440.

The previous prime is 112830317. The next prime is 112830337. The reversal of 112830328 is 823038211.

It is a junction number, because it is equal to n+sod(n) for n = 112830296 and 112830305.

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, 254475 + ... + 254917.

It is an arithmetic number, because the mean of its divisors is an integer number (3729600).

Almost surely, 2112830328 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 112830328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119347200).

112830328 is an abundant number, since it is smaller than the sum of its proper divisors (125864072).

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

112830328 is a wasteful number, since it uses less digits than its factorization.

112830328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 112830328 is about 10622.1621151251. The cubic root of 112830328 is about 483.2167167988.

Adding to 112830328 its reverse (823038211), we get a palindrome (935868539).

The spelling of 112830328 in words is "one hundred twelve million, eight hundred thirty thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 26 31 52 62 79 104 124 158 248 316 403 443 632 806 886 1027 1612 1772 2054 2449 3224 3544 4108 4898 5759 8216 9796 11518 13733 19592 23036 27466 31837 34997 46072 54932 63674 69994 109864 127348 139988 178529 254696 279976 357058 454961 714116 909922 1084907 1428232 1819844 2169814 3639688 4339628 8679256 14103791 28207582 56415164 112830328