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107342620 = 225711431621
BaseRepresentation
bin1100110010111…
…10101100011100
321110222120101121
412121132230130
5204434430440
614352420324
72442253150
oct631365434
9243876347
10107342620
1155657110
122bb476a4
1319314958
1410383060
15965534a
hex665eb1c

107342620 has 96 divisors (see below), whose sum is σ = 287755776. Its totient is φ = 32659200.

The previous prime is 107342581. The next prime is 107342621. The reversal of 107342620 is 26243701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107342621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65410 + ... + 67030.

It is an arithmetic number, because the mean of its divisors is an integer number (2997456).

Almost surely, 2107342620 is an apocalyptic number.

107342620 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 107342620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143877888).

107342620 is an abundant number, since it is smaller than the sum of its proper divisors (180413156).

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

107342620 is a wasteful number, since it uses less digits than its factorization.

107342620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 107342620 is about 10360.6283593226. The cubic root of 107342620 is about 475.2521210029.

The spelling of 107342620 in words is "one hundred seven million, three hundred forty-two thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 43 44 55 70 77 86 110 140 154 172 215 220 301 308 385 430 473 602 770 860 946 1204 1505 1540 1621 1892 2365 3010 3242 3311 4730 6020 6484 6622 8105 9460 11347 13244 16210 16555 17831 22694 32420 33110 35662 45388 56735 66220 69703 71324 89155 113470 124817 139406 178310 226940 249634 278812 348515 356620 487921 499268 624085 697030 766733 975842 1248170 1394060 1533466 1951684 2439605 2496340 3066932 3833665 4879210 5367131 7667330 9758420 10734262 15334660 21468524 26835655 53671310 107342620