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131920600 = 2352794229
BaseRepresentation
bin1111101110011…
…11001011011000
3100012020021001011
413313033023120
5232232424400
621031303304
73161210110
oct767171330
9305207034
10131920600
1168513999
123821ab34
132143ba36
1413740040
15b8ac8ba
hex7dcf2d8

131920600 has 48 divisors (see below), whose sum is σ = 350535600. Its totient is φ = 45229440.

The previous prime is 131920573. The next prime is 131920601. The reversal of 131920600 is 6029131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131920601) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 45715 + ... + 48514.

It is an arithmetic number, because the mean of its divisors is an integer number (7302825).

Almost surely, 2131920600 is an apocalyptic number.

131920600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131920600 is an abundant number, since it is smaller than the sum of its proper divisors (218615000).

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

131920600 is a wasteful number, since it uses less digits than its factorization.

131920600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94252 (or 94243 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 131920600 is about 11485.6693318239. The cubic root of 131920600 is about 509.0622264684.

Adding to 131920600 its reverse (6029131), we get a palindrome (137949731).

The spelling of 131920600 in words is "one hundred thirty-one million, nine hundred twenty thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 94229 188458 376916 471145 659603 753832 942290 1319206 1884580 2355725 2638412 3298015 3769160 4711450 5276824 6596030 9422900 13192060 16490075 18845800 26384120 32980150 65960300 131920600