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112045696 = 277235437
BaseRepresentation
bin1101010110110…
…10111010000000
321210211111210121
412223122322000
5212140430241
615041310024
72530241560
oct653327200
9253744717
10112045696
1158279654
1231635314
131a2a0539
1410c48da0
159c83ad1
hex6adae80

112045696 has 64 divisors (see below), whose sum is σ = 266244480. Its totient is φ = 45923328.

The previous prime is 112045693. The next prime is 112045723. The reversal of 112045696 is 696540211.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (112045693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17890 + ... + 23326.

It is an arithmetic number, because the mean of its divisors is an integer number (4160070).

Almost surely, 2112045696 is an apocalyptic number.

112045696 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 112045696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133122240).

112045696 is an abundant number, since it is smaller than the sum of its proper divisors (154198784).

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

112045696 is an equidigital number, since it uses as much as digits as its factorization.

112045696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5481 (or 5469 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 112045696 is about 10585.1639571619. The cubic root of 112045696 is about 482.0939997911.

It can be divided in two parts, 11204 and 5696, that added together give a square (16900 = 1302).

The spelling of 112045696 in words is "one hundred twelve million, forty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 224 322 368 448 644 736 896 1288 1472 2576 2944 5152 5437 10304 10874 20608 21748 38059 43496 76118 86992 125051 152236 173984 250102 304472 347968 500204 608944 695936 875357 1000408 1217888 1750714 2000816 2435776 3501428 4001632 4871552 7002856 8003264 14005712 16006528 28011424 56022848 112045696