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107360130 = 23531671723
BaseRepresentation
bin1100110011000…
…10111110000010
321111000110102010
412121202332002
5204441011010
614353033350
72442355203
oct631427602
9244013363
10107360130
1155669289
122bb55856
131931c907
14103895aa
15965a620
hex6662f82

107360130 has 64 divisors (see below), whose sum is σ = 270102528. Its totient is φ = 27276480.

The previous prime is 107360129. The next prime is 107360147. The reversal of 107360130 is 31063701.

It is a junction number, because it is equal to n+sod(n) for n = 107360097 and 107360106.

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 31 ways as a sum of consecutive naturals, for example, 61449 + ... + 63171.

It is an arithmetic number, because the mean of its divisors is an integer number (4220352).

Almost surely, 2107360130 is an apocalyptic number.

107360130 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 107360130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135051264).

107360130 is an abundant number, since it is smaller than the sum of its proper divisors (162742398).

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

107360130 is a wasteful number, since it uses less digits than its factorization.

107360130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831.

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 107360130 is about 10361.4733508319. The cubic root of 107360130 is about 475.2779610411.

The spelling of 107360130 in words is "one hundred seven million, three hundred sixty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 67 93 134 155 186 201 310 335 402 465 670 930 1005 1723 2010 2077 3446 4154 5169 6231 8615 10338 10385 12462 17230 20770 25845 31155 51690 53413 62310 106826 115441 160239 230882 267065 320478 346323 534130 577205 692646 801195 1154410 1602390 1731615 3463230 3578671 7157342 10736013 17893355 21472026 35786710 53680065 107360130