Search a number
-
+
3131961660 = 223355799929
BaseRepresentation
bin1011101010101101…
…1111000100111100
322002021100010201000
42322223133010330
522403240233120
61234440450300
7140420143362
oct27253370474
98067303630
103131961660
111367a02173
12734a79990
133abb38b69
14219d57632
15134e5d990
hexbaadf13c

3131961660 has 48 divisors (see below), whose sum is σ = 9743882400. Its totient is φ = 835189632.

The previous prime is 3131961649. The next prime is 3131961661. The reversal of 3131961660 is 661691313.

3131961660 is a `hidden beast` number, since 3 + 1 + 31 + 9 + 616 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131961661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2899425 + ... + 2900504.

It is an arithmetic number, because the mean of its divisors is an integer number (202997550).

Almost surely, 23131961660 is an apocalyptic number.

3131961660 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3131961660 is an abundant number, since it is smaller than the sum of its proper divisors (6611920740).

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

3131961660 is a wasteful number, since it uses less digits than its factorization.

3131961660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5799947 (or 5799939 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 3131961660 is about 55963.9317775297. The cubic root of 3131961660 is about 1463.0937181782.

The spelling of 3131961660 in words is "three billion, one hundred thirty-one million, nine hundred sixty-one thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 5799929 11599858 17399787 23199716 28999645 34799574 52199361 57999290 69599148 86998935 104398722 115998580 156598083 173997870 208797444 260996805 313196166 347995740 521993610 626392332 782990415 1043987220 1565980830 3131961660