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131890430 = 2573160779
BaseRepresentation
bin1111101110001…
…11110011111110
3100012011201122202
413313013303332
5232230443210
621030511502
73161023130
oct767076376
9305151582
10131890430
11684a3261
1238205592
132142b099
1413733050
15b8a39a5
hex7dc7cfe

131890430 has 32 divisors (see below), whose sum is σ = 280074240. Its totient is φ = 43760160.

The previous prime is 131890411. The next prime is 131890439. The reversal of 131890430 is 34098131.

131890430 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 131890393 and 131890402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131890439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28220 + ... + 32559.

It is an arithmetic number, because the mean of its divisors is an integer number (8752320).

Almost surely, 2131890430 is an apocalyptic number.

131890430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131890430 is an abundant number, since it is smaller than the sum of its proper divisors (148183810).

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

131890430 is a wasteful number, since it uses less digits than its factorization.

131890430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60824.

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 131890430 is about 11484.3558809365. The cubic root of 131890430 is about 509.0234163096.

The spelling of 131890430 in words is "one hundred thirty-one million, eight hundred ninety thousand, four hundred thirty".

Divisors: 1 2 5 7 10 14 31 35 62 70 155 217 310 434 1085 2170 60779 121558 303895 425453 607790 850906 1884149 2127265 3768298 4254530 9420745 13189043 18841490 26378086 65945215 131890430