Search a number
-
+
112938768 = 24321315987
BaseRepresentation
bin1101011101101…
…00111100010000
321212111212212100
412232310330100
5212403020033
615112400400
72540651355
oct656647420
9255455770
10112938768
1158829628
12319a6100
131a523b97
1410ddc62c
159dad513
hex6bb4f10

112938768 has 60 divisors (see below), whose sum is σ = 318537648. Its totient is φ = 37352640.

The previous prime is 112938739. The next prime is 112938799. The reversal of 112938768 is 867839211.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15871 + ... + 21857.

Almost surely, 2112938768 is an apocalyptic number.

112938768 is a gapful number since it is divisible by the number (18) 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 112938768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159268824).

112938768 is an abundant number, since it is smaller than the sum of its proper divisors (205598880).

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

112938768 is a wasteful number, since it uses less digits than its factorization.

112938768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6132 (or 6123 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 112938768 is about 10627.2653114524. The cubic root of 112938768 is about 483.3714720070.

The spelling of 112938768 in words is "one hundred twelve million, nine hundred thirty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 131 144 262 393 524 786 1048 1179 1572 2096 2358 3144 4716 5987 6288 9432 11974 17961 18864 23948 35922 47896 53883 71844 95792 107766 143688 215532 287376 431064 784297 862128 1568594 2352891 3137188 4705782 6274376 7058673 9411564 12548752 14117346 18823128 28234692 37646256 56469384 112938768