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131419660 = 2257983177
BaseRepresentation
bin1111101010101…
…00111000001100
3100011021210212211
413311110320030
5232120412120
621012440204
73154022461
oct765247014
9304253784
10131419660
1168201599
1238019064
13212c4a18
141364d668
15b80e25a
hex7d54e0c

131419660 has 24 divisors (see below), whose sum is σ = 279478080. Its totient is φ = 51901824.

The previous prime is 131419649. The next prime is 131419663. The reversal of 131419660 is 66914131.

It is a super-2 number, since 2×1314196602 = 34542254069031200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131419663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40009 + ... + 43168.

It is an arithmetic number, because the mean of its divisors is an integer number (11644920).

Almost surely, 2131419660 is an apocalyptic number.

131419660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131419660 is an abundant number, since it is smaller than the sum of its proper divisors (148058420).

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

131419660 is a wasteful number, since it uses less digits than its factorization.

131419660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83265 (or 83263 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 131419660 is about 11463.8414155116. The cubic root of 131419660 is about 508.4170578449.

It can be divided in two parts, 13141 and 9660, that added together give a square (22801 = 1512).

The spelling of 131419660 in words is "one hundred thirty-one million, four hundred nineteen thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 79 158 316 395 790 1580 83177 166354 332708 415885 831770 1663540 6570983 13141966 26283932 32854915 65709830 131419660