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112937344 = 2713671013
BaseRepresentation
bin1101011101101…
…00100110000000
321212111210220121
412232310212000
5212402443334
615112350024
72540644252
oct656644600
9255453817
10112937344
1158828553
12319a5314
131a523340
1410ddbcd2
159dacdb4
hex6bb4980

112937344 has 64 divisors (see below), whose sum is σ = 246158640. Its totient is φ = 51296256.

The previous prime is 112937317. The next prime is 112937347. The reversal of 112937344 is 443739211.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112937347) 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, 110982 + ... + 111994.

Almost surely, 2112937344 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 112937344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123079320).

112937344 is an abundant number, since it is smaller than the sum of its proper divisors (133221296).

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

112937344 is a wasteful number, since it uses less digits than its factorization.

112937344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1095 counting only the distinct ones).

The product of its digits is 18144, while the sum is 34.

The square root of 112937344 is about 10627.1983137608. The cubic root of 112937344 is about 483.3694404523.

The spelling of 112937344 in words is "one hundred twelve million, nine hundred thirty-seven thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 67 104 128 134 208 268 416 536 832 871 1013 1072 1664 1742 2026 2144 3484 4052 4288 6968 8104 8576 13169 13936 16208 26338 27872 32416 52676 55744 64832 67871 105352 111488 129664 135742 210704 271484 421408 542968 842816 882323 1085936 1685632 1764646 2171872 3529292 4343744 7058584 8687488 14117168 28234336 56468672 112937344