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131960000 = 26543299
BaseRepresentation
bin1111101110110…
…00110011000000
3100012022021002102
413313120303000
5232240210000
621032205532
73161433014
oct767306300
9305267072
10131960000
1168540557
12382398a8
1321453953
1413750544
15b8b93d5
hex7dd8cc0

131960000 has 70 divisors (see below), whose sum is σ = 327317100. Its totient is φ = 52768000.

The previous prime is 131959999. The next prime is 131960009. The reversal of 131960000 is 69131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (131960009) 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, 38351 + ... + 41649.

Almost surely, 2131960000 is an apocalyptic number.

131960000 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 131960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163658550).

131960000 is an abundant number, since it is smaller than the sum of its proper divisors (195357100).

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

131960000 is an frugal number, since it uses more digits than its factorization.

131960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3331 (or 3306 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

The square root of 131960000 is about 11487.3843846195. The cubic root of 131960000 is about 509.1129010289.

The spelling of 131960000 in words is "one hundred thirty-one million, nine hundred sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3299 4000 5000 6598 8000 10000 13196 16495 20000 26392 32990 40000 52784 65980 82475 105568 131960 164950 211136 263920 329900 412375 527840 659800 824750 1055680 1319600 1649500 2061875 2639200 3299000 4123750 5278400 6598000 8247500 13196000 16495000 26392000 32990000 65980000 131960000