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131342432 = 25131572011
BaseRepresentation
bin1111101010000…
…10000001100000
3100011010212221112
413311002001200
5232110424212
621011042452
73153251354
oct765020140
9304125845
10131342432
1168159571
1237ba0428
1321298820
141362d464
15b7e6422
hex7d42060

131342432 has 48 divisors (see below), whose sum is σ = 280384272. Its totient is φ = 60203520.

The previous prime is 131342429. The next prime is 131342441. The reversal of 131342432 is 234243131.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 131342398 and 131342407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64307 + ... + 66317.

It is an arithmetic number, because the mean of its divisors is an integer number (5841339).

Almost surely, 2131342432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131342432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140192136).

131342432 is an abundant number, since it is smaller than the sum of its proper divisors (149041840).

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

131342432 is a wasteful number, since it uses less digits than its factorization.

131342432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2191 (or 2183 counting only the distinct ones).

The product of its digits is 1728, while the sum is 23.

The square root of 131342432 is about 11460.4725906046. The cubic root of 131342432 is about 508.3174488870.

Adding to 131342432 its reverse (234243131), we get a palindrome (365585563).

The spelling of 131342432 in words is "one hundred thirty-one million, three hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 157 208 314 416 628 1256 2011 2041 2512 4022 4082 5024 8044 8164 16088 16328 26143 32176 32656 52286 64352 65312 104572 209144 315727 418288 631454 836576 1262908 2525816 4104451 5051632 8208902 10103264 16417804 32835608 65671216 131342432