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107690130 = 232511310589
BaseRepresentation
bin1100110101100…
…11100010010010
321111122020002100
412122303202102
5210032041010
614404101230
72445231252
oct632634222
9244566070
10107690130
1155874209
1230094816
1319406b92
1410433962
1596c32c0
hex66b3892

107690130 has 48 divisors (see below), whose sum is σ = 282498840. Its totient is φ = 28460544.

The previous prime is 107690129. The next prime is 107690171. The reversal of 107690130 is 31096701.

It can be written as a sum of positive squares in 4 ways, for example, as 31843449 + 75846681 = 5643^2 + 8709^2 .

It is a junction number, because it is equal to n+sod(n) for n = 107690094 and 107690103.

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 23 ways as a sum of consecutive naturals, for example, 4876 + ... + 15464.

Almost surely, 2107690130 is an apocalyptic number.

107690130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107690130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141249420).

107690130 is an abundant number, since it is smaller than the sum of its proper divisors (174808710).

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

107690130 is a wasteful number, since it uses less digits than its factorization.

107690130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10715 (or 10712 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 107690130 is about 10377.3855088842. The cubic root of 107690130 is about 475.7644274873.

The spelling of 107690130 in words is "one hundred seven million, six hundred ninety thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 113 226 339 565 678 1017 1130 1695 2034 3390 5085 10170 10589 21178 31767 52945 63534 95301 105890 158835 190602 317670 476505 953010 1196557 2393114 3589671 5982785 7179342 10769013 11965570 17948355 21538026 35896710 53845065 107690130