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131673680 = 2456192659
BaseRepresentation
bin1111101100100…
…10111001010000
3100011202201022222
413312102321100
5232202024210
621022120212
73156131165
oct766227120
9304681288
10131673680
1168365426
1238120068
1321383528
14136b806c
15b85e655
hex7d92e50

131673680 has 40 divisors (see below), whose sum is σ = 306751200. Its totient is φ = 52564608.

The previous prime is 131673679. The next prime is 131673701. The reversal of 131673680 is 86376131.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 131673680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48191 + ... + 50849.

It is an arithmetic number, because the mean of its divisors is an integer number (7668780).

Almost surely, 2131673680 is an apocalyptic number.

131673680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131673680 is an abundant number, since it is smaller than the sum of its proper divisors (175077520).

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

131673680 is a wasteful number, since it uses less digits than its factorization.

131673680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3291 (or 3285 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 131673680 is about 11474.9152502317. The cubic root of 131673680 is about 508.7444187601.

The spelling of 131673680 in words is "one hundred thirty-one million, six hundred seventy-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 619 1238 2476 2659 3095 4952 5318 6190 9904 10636 12380 13295 21272 24760 26590 42544 49520 53180 106360 212720 1645921 3291842 6583684 8229605 13167368 16459210 26334736 32918420 65836840 131673680