Search a number
-
+
113351728 = 2472379557
BaseRepresentation
bin1101100000110…
…01110000110000
321220021212100011
412300121300300
5213004223403
615125304304
72544321340
oct660316060
9256255304
10113351728
1158a90916
1231b65094
131a639b39
14110a8d20
159e40a6d
hex6c19c30

113351728 has 80 divisors (see below), whose sum is σ = 265697280. Its totient is φ = 45796608.

The previous prime is 113351687. The next prime is 113351729. The reversal of 113351728 is 827153311.

It is a super-2 number, since 2×1133517282 = 25697228481171968, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 113351728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113351729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203226 + ... + 203782.

It is an arithmetic number, because the mean of its divisors is an integer number (3321216).

Almost surely, 2113351728 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 113351728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132848640).

113351728 is an abundant number, since it is smaller than the sum of its proper divisors (152345552).

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

113351728 is a wasteful number, since it uses less digits than its factorization.

113351728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 668 counting only the distinct ones).

The product of its digits is 5040, while the sum is 31.

The square root of 113351728 is about 10646.6768524268. The cubic root of 113351728 is about 483.9599037886.

The spelling of 113351728 in words is "one hundred thirteen million, three hundred fifty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 79 92 112 158 161 184 316 322 368 553 557 632 644 1106 1114 1264 1288 1817 2212 2228 2576 3634 3899 4424 4456 7268 7798 8848 8912 12719 12811 14536 15596 25438 25622 29072 31192 44003 50876 51244 62384 88006 89677 101752 102488 176012 179354 203504 204976 308021 352024 358708 616042 704048 717416 1012069 1232084 1434832 2024138 2464168 4048276 4928336 7084483 8096552 14168966 16193104 28337932 56675864 113351728