Search a number
-
+
107807480 = 23511892753
BaseRepresentation
bin1100110110100…
…00001011111000
321111212012001122
412123100023320
5210044314410
614410404412
72446230344
oct633201370
9244765048
10107807480
11559443a0
1230130708
1319448411
1410464624
1596e7e55
hex66d02f8

107807480 has 64 divisors (see below), whose sum is σ = 267688800. Its totient is φ = 38748160.

The previous prime is 107807477. The next prime is 107807527. The reversal of 107807480 is 84708701.

It is a self number, because there is not a number n which added to its sum of digits gives 107807480.

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, 37784 + ... + 40536.

Almost surely, 2107807480 is an apocalyptic number.

107807480 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 107807480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133844400).

107807480 is an abundant number, since it is smaller than the sum of its proper divisors (159881320).

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

107807480 is a wasteful number, since it uses less digits than its factorization.

107807480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2864 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 35.

The square root of 107807480 is about 10383.0380910406. The cubic root of 107807480 is about 475.9371783486.

The spelling of 107807480 in words is "one hundred seven million, eight hundred seven thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 89 110 178 220 356 440 445 712 890 979 1780 1958 2753 3560 3916 4895 5506 7832 9790 11012 13765 19580 22024 27530 30283 39160 55060 60566 110120 121132 151415 242264 245017 302830 490034 605660 980068 1211320 1225085 1960136 2450170 2695187 4900340 5390374 9800680 10780748 13475935 21561496 26951870 53903740 107807480