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112859340 = 223511307557
BaseRepresentation
bin1101011101000…
…01100011001100
321212100211220120
412232201203030
5212342444330
615110544540
72540200656
oct656414314
9255324816
10112859340
1158784990
1231968150
131a4c6999
1410dbb6d6
159d94c10
hex6ba18cc

112859340 has 96 divisors (see below), whose sum is σ = 346477824. Its totient is φ = 27221760.

The previous prime is 112859339. The next prime is 112859353. The reversal of 112859340 is 43958211.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 31 ways as a sum of consecutive naturals, for example, 202342 + ... + 202898.

It is an arithmetic number, because the mean of its divisors is an integer number (3609144).

Almost surely, 2112859340 is an apocalyptic number.

112859340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112859340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173238912).

112859340 is an abundant number, since it is smaller than the sum of its proper divisors (233618484).

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

112859340 is a wasteful number, since it uses less digits than its factorization.

112859340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 112859340 is about 10623.5276626928. The cubic root of 112859340 is about 483.2581296655.

The spelling of 112859340 in words is "one hundred twelve million, eight hundred fifty-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 307 330 557 614 660 921 1114 1228 1535 1671 1842 2228 2785 3070 3342 3377 3684 4605 5570 6127 6140 6684 6754 8355 9210 10131 11140 12254 13508 16710 16885 18381 18420 20262 24508 30635 33420 33770 36762 40524 50655 61270 67540 73524 91905 101310 122540 170999 183810 202620 341998 367620 512997 683996 854995 1025994 1709990 1880989 2051988 2564985 3419980 3761978 5129970 5642967 7523956 9404945 10259940 11285934 18809890 22571868 28214835 37619780 56429670 112859340