Search a number
-
+
112338968 = 23721791601
BaseRepresentation
bin1101011001000…
…10100000011000
321211101102002112
412230202200120
5212224321333
615051451452
72532602600
oct654424030
9254342075
10112338968
1158459a25
1231756b88
131a373b81
1410cc3c00
159ce0948
hex6b22818

112338968 has 48 divisors (see below), whose sum is σ = 246547800. Its totient is φ = 47846400.

The previous prime is 112338949. The next prime is 112338971. The reversal of 112338968 is 869833211.

It is a congruent number.

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, 69368 + ... + 70968.

Almost surely, 2112338968 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 112338968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123273900).

112338968 is an abundant number, since it is smaller than the sum of its proper divisors (134208832).

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

112338968 is a wasteful number, since it uses less digits than its factorization.

112338968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1800 (or 1789 counting only the distinct ones).

The product of its digits is 62208, while the sum is 41.

The square root of 112338968 is about 10599.0078780988. The cubic root of 112338968 is about 482.5142494472.

It can be divided in two parts, 112338 and 968, that multiplied together give a square (108743184 = 104282).

The spelling of 112338968 in words is "one hundred twelve million, three hundred thirty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 179 196 358 392 716 1253 1432 1601 2506 3202 5012 6404 8771 10024 11207 12808 17542 22414 35084 44828 70168 78449 89656 156898 286579 313796 573158 627592 1146316 2006053 2292632 4012106 8024212 14042371 16048424 28084742 56169484 112338968