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109146520 = 23572233239
BaseRepresentation
bin1101000000101…
…11000110011000
321121101012212201
412200113012120
5210420142040
614455215544
72463505300
oct640270630
9247335781
10109146520
115667943a
12306775b4
13197c6a52
14106d2600
1598aea9a
hex6817198

109146520 has 96 divisors (see below), whose sum is σ = 288100800. Its totient is φ = 37105152.

The previous prime is 109146509. The next prime is 109146529. The reversal of 109146520 is 25641901.

It is a super-2 number, since 2×1091465202 = 23825925656220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109146529) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 456561 + ... + 456799.

It is an arithmetic number, because the mean of its divisors is an integer number (3001050).

Almost surely, 2109146520 is an apocalyptic number.

109146520 is a gapful number since it is divisible by the number (10) 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 109146520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144050400).

109146520 is an abundant number, since it is smaller than the sum of its proper divisors (178954280).

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

109146520 is a wasteful number, since it uses less digits than its factorization.

109146520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 109146520 is about 10447.3211877495. The cubic root of 109146520 is about 477.8995604866.

The spelling of 109146520 in words is "one hundred nine million, one hundred forty-six thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 233 239 245 280 392 466 478 490 932 956 980 1165 1195 1631 1673 1864 1912 1960 2330 2390 3262 3346 4660 4780 6524 6692 8155 8365 9320 9560 11417 11711 13048 13384 16310 16730 22834 23422 32620 33460 45668 46844 55687 57085 58555 65240 66920 91336 93688 111374 114170 117110 222748 228340 234220 278435 389809 445496 456680 468440 556870 779618 1113740 1559236 1949045 2227480 2728663 3118472 3898090 5457326 7796180 10914652 13643315 15592360 21829304 27286630 54573260 109146520