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109545072 = 24371331809
BaseRepresentation
bin1101000011110…
…00011001110000
321122010110120220
412201320121300
5211020420242
614511533040
72500055250
oct641703160
9248113526
10109545072
115692091a
123082a180
1319906290
1410797960
15993cbec
hex6878670

109545072 has 160 divisors (see below), whose sum is σ = 359976960. Its totient is φ = 27924480.

The previous prime is 109545061. The next prime is 109545077. The reversal of 109545072 is 270545901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109545077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135004 + ... + 135812.

It is an arithmetic number, because the mean of its divisors is an integer number (2249856).

Almost surely, 2109545072 is an apocalyptic number.

109545072 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 109545072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179988480).

109545072 is an abundant number, since it is smaller than the sum of its proper divisors (250431888).

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

109545072 is a wasteful number, since it uses less digits than its factorization.

109545072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 109545072 is about 10466.3781701217. The cubic root of 109545072 is about 478.4805423988.

The spelling of 109545072 in words is "one hundred nine million, five hundred forty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 31 39 42 48 52 56 62 78 84 91 93 104 112 124 156 168 182 186 208 217 248 273 312 336 364 372 403 434 496 546 624 651 728 744 806 809 868 1092 1209 1302 1456 1488 1612 1618 1736 2184 2418 2427 2604 2821 3224 3236 3472 4368 4836 4854 5208 5642 5663 6448 6472 8463 9672 9708 10416 10517 11284 11326 12944 16926 16989 19344 19416 21034 22568 22652 25079 31551 33852 33978 38832 42068 45136 45304 50158 63102 67704 67956 73619 75237 84136 90608 100316 126204 135408 135912 147238 150474 168272 175553 200632 220857 252408 271824 294476 300948 326027 351106 401264 441714 504816 526659 588952 601896 652054 702212 883428 978081 1053318 1177904 1203792 1304108 1404424 1766856 1956162 2106636 2282189 2608216 2808848 3533712 3912324 4213272 4564378 5216432 6846567 7824648 8426544 9128756 13693134 15649296 18257512 27386268 36515024 54772536 109545072