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131742680 = 23510730781
BaseRepresentation
bin1111101101000…
…11101111011000
3100011220012222112
413312203233120
5232211231210
621023411452
73156536306
oct766435730
9304805875
10131742680
1168402253
1238153b88
13213a8a64
14136d5276
15b874d05
hex7da3bd8

131742680 has 32 divisors (see below), whose sum is σ = 299201040. Its totient is φ = 52202880.

The previous prime is 131742661. The next prime is 131742719. The reversal of 131742680 is 86247131.

It is a super-2 number, since 2×1317426802 = 34712267467164800, 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 7 ways as a sum of consecutive naturals, for example, 11111 + ... + 19670.

Almost surely, 2131742680 is an apocalyptic number.

131742680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131742680 is an abundant number, since it is smaller than the sum of its proper divisors (167458360).

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

131742680 is a wasteful number, since it uses less digits than its factorization.

131742680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30899 (or 30895 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 131742680 is about 11477.9214146116. The cubic root of 131742680 is about 508.8332677870.

The spelling of 131742680 in words is "one hundred thirty-one million, seven hundred forty-two thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 107 214 428 535 856 1070 2140 4280 30781 61562 123124 153905 246248 307810 615620 1231240 3293567 6587134 13174268 16467835 26348536 32935670 65871340 131742680