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112691440 = 24513110753
BaseRepresentation
bin1101011011110…
…00100011110000
321212001022121001
412231320203300
5212322111230
615103211344
72535601321
oct655704360
9255038531
10112691440
115867a824
12318a6b54
131a468434
1410d76448
159d600ca
hex6b788f0

112691440 has 40 divisors (see below), whose sum is σ = 264032208. Its totient is φ = 44728320.

The previous prime is 112691431. The next prime is 112691441. The reversal of 112691440 is 44196211.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 112691399 and 112691408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112691441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5104 + ... + 15856.

Almost surely, 2112691440 is an apocalyptic number.

112691440 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 112691440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132016104).

112691440 is an abundant number, since it is smaller than the sum of its proper divisors (151340768).

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

112691440 is a wasteful number, since it uses less digits than its factorization.

112691440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10897 (or 10891 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 112691440 is about 10615.6224499555. The cubic root of 112691440 is about 483.0183642197.

The spelling of 112691440 in words is "one hundred twelve million, six hundred ninety-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 131 262 524 655 1048 1310 2096 2620 5240 10480 10753 21506 43012 53765 86024 107530 172048 215060 430120 860240 1408643 2817286 5634572 7043215 11269144 14086430 22538288 28172860 56345720 112691440