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112340671960 = 235115361151523
BaseRepresentation
bin110100010100000000…
…1101001110111011000
3101201222012210102200011
41220220001221313120
53320033203000320
6123335242251304
711054622645646
oct1505001516730
9351865712604
10112340671960
1143709420650
12199327b6b34
13a7944126ba
145619ddc196
152dc785005a
hex1a28069dd8

112340671960 has 256 divisors, whose sum is σ = 287994424320. Its totient is φ = 39087360000.

The previous prime is 112340671951. The next prime is 112340671967. The reversal of 112340671960 is 69176043211.

112340671960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112340671967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 214800259 + ... + 214800781.

It is an arithmetic number, because the mean of its divisors is an integer number (1124978220).

Almost surely, 2112340671960 is an apocalyptic number.

112340671960 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 112340671960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143997212160).

112340671960 is an abundant number, since it is smaller than the sum of its proper divisors (175653752360).

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

112340671960 is a wasteful number, since it uses less digits than its factorization.

112340671960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The spelling of 112340671960 in words is "one hundred twelve billion, three hundred forty million, six hundred seventy-one thousand, nine hundred sixty".