Search a number
-
+
107081880 = 2335919971
BaseRepresentation
bin1100110000111…
…11000010011000
321110111022201120
412120133002120
5204403110010
614343045240
72440116033
oct630370230
9243438646
10107081880
1155499224
122ba40820
1319253079
141031601a
159602e70
hex661f098

107081880 has 64 divisors (see below), whose sum is σ = 321926400. Its totient is φ = 28494720.

The previous prime is 107081857. The next prime is 107081881. The reversal of 107081880 is 88180701.

It is a super-2 number, since 2×1070818802 = 22933058048668800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107081881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109795 + ... + 110765.

It is an arithmetic number, because the mean of its divisors is an integer number (5030100).

Almost surely, 2107081880 is an apocalyptic number.

107081880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107081880 is an abundant number, since it is smaller than the sum of its proper divisors (214844520).

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

107081880 is a wasteful number, since it uses less digits than its factorization.

107081880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1904 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 33.

The square root of 107081880 is about 10348.0374951002. The cubic root of 107081880 is about 474.8670061649.

The spelling of 107081880 in words is "one hundred seven million, eighty-one thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 919 971 1838 1942 2757 2913 3676 3884 4595 4855 5514 5826 7352 7768 9190 9710 11028 11652 13785 14565 18380 19420 22056 23304 27570 29130 36760 38840 55140 58260 110280 116520 892349 1784698 2677047 3569396 4461745 5354094 7138792 8923490 10708188 13385235 17846980 21416376 26770470 35693960 53540940 107081880