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131742676 = 221341611013
BaseRepresentation
bin1111101101000…
…11101111010100
3100011220012222101
413312203233110
5232211231201
621023411444
73156536302
oct766435724
9304805871
10131742676
116840224a
1238153b84
13213a8a60
14136d5272
15b874d01
hex7da3bd4

131742676 has 48 divisors (see below), whose sum is σ = 258764688. Its totient is φ = 58291200.

The previous prime is 131742661. The next prime is 131742719. The reversal of 131742676 is 676247131.

131742676 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 109746576 + 21996100 = 10476^2 + 4690^2 .

It is a super-2 number, since 2×1317426762 = 34712265359281952, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129546 + ... + 130558.

It is an arithmetic number, because the mean of its divisors is an integer number (5390931).

Almost surely, 2131742676 is an apocalyptic number.

It is an amenable number.

131742676 is a deficient number, since it is larger than the sum of its proper divisors (127022012).

131742676 is a wasteful number, since it uses less digits than its factorization.

131742676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1130 counting only the distinct ones).

The product of its digits is 42336, while the sum is 37.

The square root of 131742676 is about 11477.9212403640. The cubic root of 131742676 is about 508.8332626373.

The spelling of 131742676 in words is "one hundred thirty-one million, seven hundred forty-two thousand, six hundred seventy-six".

Divisors: 1 2 4 13 26 41 52 61 82 122 164 244 533 793 1013 1066 1586 2026 2132 2501 3172 4052 5002 10004 13169 26338 32513 41533 52676 61793 65026 83066 123586 130052 166132 247172 539929 803309 1079858 1606618 2159716 2533513 3213236 5067026 10134052 32935669 65871338 131742676