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131807000 = 23531310139
BaseRepresentation
bin1111101101100…
…11011100011000
3100012000111012202
413312303130120
5232220311000
621025025332
73160224653
oct766633430
9305014182
10131807000
1168446606
1238185248
13213cc110
141371089a
15b888dd5
hex7db3718

131807000 has 64 divisors (see below), whose sum is σ = 332186400. Its totient is φ = 48662400.

The previous prime is 131806991. The next prime is 131807017. The reversal of 131807000 is 708131.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7931 + ... + 18069.

Almost surely, 2131807000 is an apocalyptic number.

131807000 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 131807000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166093200).

131807000 is an abundant number, since it is smaller than the sum of its proper divisors (200379400).

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

131807000 is a wasteful number, since it uses less digits than its factorization.

131807000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10173 (or 10159 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 131807000 is about 11480.7229737504. The cubic root of 131807000 is about 508.9160625984.

The spelling of 131807000 in words is "one hundred thirty-one million, eight hundred seven thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 3250 6500 10139 13000 20278 40556 50695 81112 101390 131807 202780 253475 263614 405560 506950 527228 659035 1013900 1054456 1267375 1318070 2027800 2534750 2636140 3295175 5069500 5272280 6590350 10139000 13180700 16475875 26361400 32951750 65903500 131807000