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109993488 = 24311415081
BaseRepresentation
bin1101000111001…
…01111000010000
321122222020200220
412203211320100
5211124242423
614525313040
72503633503
oct643457020
9248866626
10109993488
11570a7810
1230a05780
1319a32407
141087313a
1599ca9e3
hex68e5e10

109993488 has 80 divisors (see below), whose sum is σ = 317604672. Its totient is φ = 32512000.

The previous prime is 109993483. The next prime is 109993511. The reversal of 109993488 is 884399901.

It is a happy number.

It is a super-2 number, since 2×1099934882 = 24197134804812288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 109993488.

It is not an unprimeable number, because it can be changed into a prime (109993483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19108 + ... + 24188.

Almost surely, 2109993488 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 109993488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158802336).

109993488 is an abundant number, since it is smaller than the sum of its proper divisors (207611184).

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

109993488 is a wasteful number, since it uses less digits than its factorization.

109993488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5144 (or 5138 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 51.

The square root of 109993488 is about 10487.7780296877. The cubic root of 109993488 is about 479.1325304512.

The spelling of 109993488 in words is "one hundred nine million, nine hundred ninety-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 41 44 48 66 82 88 123 132 164 176 246 264 328 451 492 528 656 902 984 1353 1804 1968 2706 3608 5081 5412 7216 10162 10824 15243 20324 21648 30486 40648 55891 60972 81296 111782 121944 167673 208321 223564 243888 335346 416642 447128 624963 670692 833284 894256 1249926 1341384 1666568 2291531 2499852 2682768 3333136 4583062 4999704 6874593 9166124 9999408 13749186 18332248 27498372 36664496 54996744 109993488