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109596144 = 24372172741
BaseRepresentation
bin1101000100001…
…00110111110000
321122020001122110
412202010313300
5211024034034
614513005320
72500360200
oct642046760
9248201573
10109596144
1156956229
1230853840
13199235b8
14107ac400
15994cde9
hex6884df0

109596144 has 120 divisors (see below), whose sum is σ = 348848208. Its totient is φ = 29460480.

The previous prime is 109596139. The next prime is 109596163. The reversal of 109596144 is 441695901.

It is a super-2 number, since 2×1095961442 = 24022629559337472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38614 + ... + 41354.

Almost surely, 2109596144 is an apocalyptic number.

109596144 is a gapful number since it is divisible by the number (14) 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 109596144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174424104).

109596144 is an abundant number, since it is smaller than the sum of its proper divisors (239252064).

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

109596144 is a wasteful number, since it uses less digits than its factorization.

109596144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2783 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 109596144 is about 10468.8176982886. The cubic root of 109596144 is about 478.5548897614.

It can be divided in two parts, 1095961 and 44, that multiplied together give a palindrome (48222284).

The spelling of 109596144 in words is "one hundred nine million, five hundred ninety-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 49 51 56 68 84 98 102 112 119 136 147 168 196 204 238 272 294 336 357 392 408 476 588 714 784 816 833 952 1176 1428 1666 1904 2352 2499 2741 2856 3332 4998 5482 5712 6664 8223 9996 10964 13328 16446 19187 19992 21928 32892 38374 39984 43856 46597 57561 65784 76748 93194 115122 131568 134309 139791 153496 186388 230244 268618 279582 306992 326179 372776 402927 460488 537236 559164 652358 745552 805854 920976 978537 1074472 1118328 1304716 1611708 1957074 2148944 2236656 2283253 2609432 3223416 3914148 4566506 5218864 6446832 6849759 7828296 9133012 13699518 15656592 18266024 27399036 36532048 54798072 109596144