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107657130 = 2357601853
BaseRepresentation
bin1100110101010…
…11011110101010
321111120112211010
412122223132222
5210030012010
614403244350
72445033120
oct632533652
9244515733
10107657130
1155851439
12300796b6
13193c4b59
1410425910
1596b8620
hex66ab7aa

107657130 has 64 divisors (see below), whose sum is σ = 296126208. Its totient is φ = 24537600.

The previous prime is 107657117. The next prime is 107657149. The reversal of 107657130 is 31756701.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125784 + ... + 126636.

It is an arithmetic number, because the mean of its divisors is an integer number (4626972).

Almost surely, 2107657130 is an apocalyptic number.

107657130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

107657130 is an abundant number, since it is smaller than the sum of its proper divisors (188469078).

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

107657130 is a wasteful number, since it uses less digits than its factorization.

107657130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471.

The product of its (nonzero) digits is 4410, while the sum is 30.

The square root of 107657130 is about 10375.7953911977. The cubic root of 107657130 is about 475.7158256018.

The spelling of 107657130 in words is "one hundred seven million, six hundred fifty-seven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 601 853 1202 1706 1803 2559 3005 3606 4207 4265 5118 5971 6010 8414 8530 9015 11942 12621 12795 17913 18030 21035 25242 25590 29855 35826 42070 59710 63105 89565 126210 179130 512653 1025306 1537959 2563265 3075918 3588571 5126530 7177142 7689795 10765713 15379590 17942855 21531426 35885710 53828565 107657130