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131680000 = 2854823
BaseRepresentation
bin1111101100101…
…00011100000000
3100011210001000001
413312110130000
5232202230000
621022205344
73156155464
oct766243400
9304701001
10131680000
116836a151
1238123854
132138637a
14136ba4a4
15b86146a
hex7d94700

131680000 has 90 divisors (see below), whose sum is σ = 328850984. Its totient is φ = 52608000.

The previous prime is 131679973. The next prime is 131680009. The reversal of 131680000 is 86131.

It is a self number, because there is not a number n which added to its sum of digits gives 131680000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131680009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 159589 + ... + 160411.

Almost surely, 2131680000 is an apocalyptic number.

131680000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164425492).

131680000 is an abundant number, since it is smaller than the sum of its proper divisors (197170984).

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

131680000 is an frugal number, since it uses more digits than its factorization.

131680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 131680000 is about 11475.1906302248. The cubic root of 131680000 is about 508.7525581070.

The spelling of 131680000 in words is "one hundred thirty-one million, six hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 823 1000 1250 1280 1600 1646 2000 2500 3200 3292 4000 4115 5000 6400 6584 8000 8230 10000 13168 16000 16460 20000 20575 26336 32000 32920 40000 41150 52672 65840 80000 82300 102875 105344 131680 160000 164600 205750 210688 263360 329200 411500 514375 526720 658400 823000 1028750 1053440 1316800 1646000 2057500 2633600 3292000 4115000 5267200 6584000 8230000 13168000 16460000 26336000 32920000 65840000 131680000