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107609220 = 223254313903
BaseRepresentation
bin1100110100111…
…11110010000100
321111111010002200
412122133302010
5210021443340
614402234500
72444443335
oct632376204
9244433080
10107609220
1155819444
1230055a30
13193a90c4
141041228c
1596a9330
hex669fc84

107609220 has 72 divisors (see below), whose sum is σ = 334029696. Its totient is φ = 28026432.

The previous prime is 107609219. The next prime is 107609221. The reversal of 107609220 is 22906701.

It is an interprime number because it is at equal distance from previous prime (107609219) and next prime (107609221).

It is not an unprimeable number, because it can be changed into a prime (107609221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 789 + ... + 14691.

Almost surely, 2107609220 is an apocalyptic number.

107609220 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 107609220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167014848).

107609220 is an abundant number, since it is smaller than the sum of its proper divisors (226420476).

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

107609220 is a wasteful number, since it uses less digits than its factorization.

107609220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13961 (or 13956 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 107609220 is about 10373.4863956145. The cubic root of 107609220 is about 475.6452468209.

The spelling of 107609220 in words is "one hundred seven million, six hundred nine thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1290 1548 1935 2580 3870 7740 13903 27806 41709 55612 69515 83418 125127 139030 166836 208545 250254 278060 417090 500508 597829 625635 834180 1195658 1251270 1793487 2391316 2502540 2989145 3586974 5380461 5978290 7173948 8967435 10760922 11956580 17934870 21521844 26902305 35869740 53804610 107609220