Search a number
-
+
3131684880 = 243519686773
BaseRepresentation
bin1011101010101001…
…1011100000010000
322002020211002000220
42322222123200100
522403202404010
61234430513040
7140414611422
oct27252334020
98066732026
103131684880
111367833225
12734965780
133aba6cb9c
14219cc4812
15134e06970
hexbaa9b810

3131684880 has 80 divisors (see below), whose sum is σ = 10219197120. Its totient is φ = 791161344.

The previous prime is 3131684849. The next prime is 3131684887. The reversal of 3131684880 is 884861313.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×31316848802 = 19614900375241228800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3131684887) 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, 338827 + ... + 347946.

It is an arithmetic number, because the mean of its divisors is an integer number (127739964).

Almost surely, 23131684880 is an apocalyptic number.

3131684880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3131684880 is an abundant number, since it is smaller than the sum of its proper divisors (7087512240).

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

3131684880 is a wasteful number, since it uses less digits than its factorization.

3131684880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686808 (or 686802 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 3131684880 is about 55961.4588801972. The cubic root of 3131684880 is about 1463.0506177135.

The spelling of 3131684880 in words is "three billion, one hundred thirty-one million, six hundred eighty-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 686773 1373546 2060319 2747092 3433865 4120638 5494184 6867730 8241276 10301595 10988368 13048687 13735460 16482552 20603190 26097374 27470920 32965104 39146061 41206380 52194748 54941840 65243435 78292122 82412760 104389496 130486870 156584244 164825520 195730305 208778992 260973740 313168488 391460610 521947480 626336976 782921220 1043894960 1565842440 3131684880