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112349280 = 25351997127
BaseRepresentation
bin1101011001001…
…01000001100000
321211101221020110
412230211001200
5212230134110
615052011320
72532644631
oct654450140
9254357213
10112349280
115846674a
1231760b40
131a378784
1410cc7888
159ce3a20
hex6b25060

112349280 has 192 divisors, whose sum is σ = 379330560. Its totient is φ = 27869184.

The previous prime is 112349257. The next prime is 112349309. The reversal of 112349280 is 82943211.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 884577 + ... + 884703.

It is an arithmetic number, because the mean of its divisors is an integer number (1975680).

Almost surely, 2112349280 is an apocalyptic number.

112349280 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 112349280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189665280).

112349280 is an abundant number, since it is smaller than the sum of its proper divisors (266981280).

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

112349280 is a wasteful number, since it uses less digits than its factorization.

112349280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 112349280 is about 10599.4943275611. The cubic root of 112349280 is about 482.5290129046.

It can be divided in two parts, 1123 and 49280, that added together give a triangular number (50403 = T317).

The spelling of 112349280 in words is "one hundred twelve million, three hundred forty-nine thousand, two hundred eighty".