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131400405 = 3256147869
BaseRepresentation
bin1111101010100…
…00001011010101
3100011020211110200
413311100023111
5232114303110
621012211113
73153612363
oct765201325
9304224420
10131400405
1168199084
1238009a99
13212b9026
1413646633
15b8086c0
hex7d502d5

131400405 has 24 divisors (see below), whose sum is σ = 231499320. Its totient is φ = 68929920.

The previous prime is 131400397. The next prime is 131400433. The reversal of 131400405 is 504004131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4297329 + 127103076 = 2073^2 + 11274^2 .

It is not a de Polignac number, because 131400405 - 23 = 131400397 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21190 + ... + 26679.

It is an arithmetic number, because the mean of its divisors is an integer number (9645805).

Almost surely, 2131400405 is an apocalyptic number.

131400405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131400405 is a deficient number, since it is larger than the sum of its proper divisors (100098915).

131400405 is a wasteful number, since it uses less digits than its factorization.

131400405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47941 (or 47938 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 131400405 is about 11463.0015702695. The cubic root of 131400405 is about 508.3922263279.

Adding to 131400405 its reverse (504004131), we get a palindrome (635404536).

The spelling of 131400405 in words is "one hundred thirty-one million, four hundred thousand, four hundred five".

Divisors: 1 3 5 9 15 45 61 183 305 549 915 2745 47869 143607 239345 430821 718035 2154105 2920009 8760027 14600045 26280081 43800135 131400405