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131820678 = 23211665761
BaseRepresentation
bin1111101101101…
…10110010000110
3100012001011222100
413312312302012
5232221230203
621025212530
73160312563
oct766666206
9305034870
10131820678
1168455910
1238191146
1321405402
141371586a
15b88cea3
hex7db6c86

131820678 has 24 divisors (see below), whose sum is σ = 311576616. Its totient is φ = 39945600.

The previous prime is 131820653. The next prime is 131820713. The reversal of 131820678 is 876028131.

It is a super-4 number, since 4×1318206784 (a number of 34 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 332683 + ... + 333078.

It is an arithmetic number, because the mean of its divisors is an integer number (12982359).

Almost surely, 2131820678 is an apocalyptic number.

131820678 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

131820678 is an abundant number, since it is smaller than the sum of its proper divisors (179755938).

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

131820678 is a wasteful number, since it uses less digits than its factorization.

131820678 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665780 (or 665777 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 131820678 is about 11481.3186524894. The cubic root of 131820678 is about 508.9336658949.

The spelling of 131820678 in words is "one hundred thirty-one million, eight hundred twenty thousand, six hundred seventy-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 665761 1331522 1997283 3994566 5991849 7323371 11983698 14646742 21970113 43940226 65910339 131820678