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107493620 = 225131093793
BaseRepresentation
bin1100110100000…
…11100011110100
321111021020112012
412122003203310
5210004243440
614355543352
72443452323
oct632034364
9244236465
10107493620
115574a603
122bbbab58
13193685c0
14103c20ba
159684e65
hex66838f4

107493620 has 48 divisors (see below), whose sum is σ = 245395920. Its totient is φ = 39315456.

The previous prime is 107493619. The next prime is 107493637. The reversal of 107493620 is 26394701.

It can be written as a sum of positive squares in 8 ways, for example, as 11806096 + 95687524 = 3436^2 + 9782^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26444 + ... + 30236.

It is an arithmetic number, because the mean of its divisors is an integer number (5112415).

Almost surely, 2107493620 is an apocalyptic number.

107493620 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 107493620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122697960).

107493620 is an abundant number, since it is smaller than the sum of its proper divisors (137902300).

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

107493620 is a wasteful number, since it uses less digits than its factorization.

107493620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3924 (or 3922 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 107493620 is about 10367.9130011782. The cubic root of 107493620 is about 475.4748639873.

The spelling of 107493620 in words is "one hundred seven million, four hundred ninety-three thousand, six hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 109 130 218 260 436 545 1090 1417 2180 2834 3793 5668 7085 7586 14170 15172 18965 28340 37930 49309 75860 98618 197236 246545 413437 493090 826874 986180 1653748 2067185 4134370 5374681 8268740 10749362 21498724 26873405 53746810 107493620