Search a number
-
+
112260512 = 25713192029
BaseRepresentation
bin1101011000011…
…11010110100000
321211020102110202
412230033112200
5212214314022
615050044332
72532125060
oct654172640
9254212422
10112260512
1158405a91
12317196a8
131a347250
1410ca33a0
159cc7592
hex6b0f5a0

112260512 has 96 divisors (see below), whose sum is σ = 286473600. Its totient is φ = 42052608.

The previous prime is 112260481. The next prime is 112260521. The reversal of 112260512 is 215062211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54314 + ... + 56342.

It is an arithmetic number, because the mean of its divisors is an integer number (2984100).

Almost surely, 2112260512 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 112260512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143236800).

112260512 is an abundant number, since it is smaller than the sum of its proper divisors (174213088).

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

112260512 is a wasteful number, since it uses less digits than its factorization.

112260512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2078 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 112260512 is about 10595.3061305467. The cubic root of 112260512 is about 482.4018961686.

The spelling of 112260512 in words is "one hundred twelve million, two hundred sixty thousand, five hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 32 38 52 56 76 91 104 112 133 152 182 208 224 247 266 304 364 416 494 532 608 728 988 1064 1456 1729 1976 2029 2128 2912 3458 3952 4058 4256 6916 7904 8116 13832 14203 16232 26377 27664 28406 32464 38551 52754 55328 56812 64928 77102 105508 113624 154204 184639 211016 227248 269857 308408 369278 422032 454496 501163 539714 616816 738556 844064 1002326 1079428 1233632 1477112 2004652 2158856 2954224 3508141 4009304 4317712 5908448 7016282 8018608 8635424 14032564 16037216 28065128 56130256 112260512