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110612992 = 29724409
BaseRepresentation
bin1101001011111…
…01001000000000
321201010201111111
412211331020000
5211304103432
614550453104
72512123600
oct645751000
9251121444
10110612992
11574901a6
1231064194
1319bbb399
1410994c00
159a9e347
hex697d200

110612992 has 60 divisors (see below), whose sum is σ = 257151510. Its totient is φ = 47394816.

The previous prime is 110612977. The next prime is 110613001. The reversal of 110612992 is 299216011.

It can be written as a sum of positive squares in only one way, i.e., 108493056 + 2119936 = 10416^2 + 1456^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22884 + ... + 27292.

Almost surely, 2110612992 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 110612992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128575755).

110612992 is an abundant number, since it is smaller than the sum of its proper divisors (146538518).

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

110612992 is an frugal number, since it uses more digits than its factorization.

110612992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4441 (or 4418 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 31.

The square root of 110612992 is about 10517.2711289574. The cubic root of 110612992 is about 480.0303684490.

The spelling of 110612992 in words is "one hundred ten million, six hundred twelve thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1568 1792 3136 3584 4409 6272 8818 12544 17636 25088 30863 35272 61726 70544 123452 141088 216041 246904 282176 432082 493808 564352 864164 987616 1128704 1728328 1975232 2257408 3456656 3950464 6913312 7900928 13826624 15801856 27653248 55306496 110612992