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112289472 = 2632383509
BaseRepresentation
bin1101011000101…
…10011011000000
321211021220012100
412230112123000
5212221230342
615050430400
72532305361
oct654263300
9254256170
10112289472
1158425819
1231732400
131a357499
1410cadb68
159cd0e4c
hex6b166c0

112289472 has 84 divisors (see below), whose sum is σ = 323331840. Its totient is φ = 37258752.

The previous prime is 112289461. The next prime is 112289483. The reversal of 112289472 is 274982211.

It is an interprime number because it is at equal distance from previous prime (112289461) and next prime (112289483).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 220354 + ... + 220862.

Almost surely, 2112289472 is an apocalyptic number.

112289472 is a gapful number since it is divisible by the number (12) 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 112289472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161665920).

112289472 is an abundant number, since it is smaller than the sum of its proper divisors (211042368).

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

112289472 is a wasteful number, since it uses less digits than its factorization.

112289472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 897 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 112289472 is about 10596.6726853291. The cubic root of 112289472 is about 482.4433745641.

The spelling of 112289472 in words is "one hundred twelve million, two hundred eighty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 383 509 576 766 1018 1149 1527 1532 2036 2298 3054 3064 3447 4072 4581 4596 6108 6128 6894 8144 9162 9192 12216 12256 13788 16288 18324 18384 24432 24512 27576 32576 36648 36768 48864 55152 73296 73536 97728 110304 146592 194947 220608 293184 389894 584841 779788 1169682 1559576 1754523 2339364 3119152 3509046 4678728 6238304 7018092 9357456 12476608 14036184 18714912 28072368 37429824 56144736 112289472