Search a number
-
+
112297536 = 2633134999
BaseRepresentation
bin1101011000110…
…00011001000000
321211022022021000
412230120121000
5212222010121
615050532000
72532341031
oct654303100
9254268230
10112297536
115843088a
1231737000
131a35b060
1410cb2a88
159cd3526
hex6b18640

112297536 has 112 divisors (see below), whose sum is σ = 355600000. Its totient is φ = 34546176.

The previous prime is 112297519. The next prime is 112297573. The reversal of 112297536 is 635792211.

112297536 is a `hidden beast` number, since 11 + 22 + 97 + 536 = 666.

It is a super-2 number, since 2×1122975362 = 25221473183342592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 112297536.

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, 19965 + ... + 24963.

It is an arithmetic number, because the mean of its divisors is an integer number (3175000).

Almost surely, 2112297536 is an apocalyptic number.

112297536 is a gapful number since it is divisible by the number (16) 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 112297536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177800000).

112297536 is an abundant number, since it is smaller than the sum of its proper divisors (243302464).

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

112297536 is a wasteful number, since it uses less digits than its factorization.

112297536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5033 (or 5017 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 112297536 is about 10597.0531752936. The cubic root of 112297536 is about 482.4549230800.

The spelling of 112297536 in words is "one hundred twelve million, two hundred ninety-seven thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 416 432 468 576 624 702 832 864 936 1248 1404 1728 1872 2496 2808 3744 4999 5616 7488 9998 11232 14997 19996 22464 29994 39992 44991 59988 64987 79984 89982 119976 129974 134973 159968 179964 194961 239952 259948 269946 319936 359928 389922 479904 519896 539892 584883 719856 779844 959808 1039792 1079784 1169766 1439712 1559688 1754649 2079584 2159568 2339532 2879424 3119376 3509298 4159168 4319136 4679064 6238752 7018596 8638272 9358128 12477504 14037192 18716256 28074384 37432512 56148768 112297536