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131506032 = 2437391387
BaseRepresentation
bin1111101011010…
…01111101110000
3100011110012100210
413311221331300
5232131143112
621014344120
73154532340
oct765517560
9304405323
10131506032
1168260479
123805b040
1321325128
1413672d20
15b829b3c
hex7d69f70

131506032 has 40 divisors (see below), whose sum is σ = 388256896. Its totient is φ = 37573056.

The previous prime is 131506031. The next prime is 131506043. The reversal of 131506032 is 230605131.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131506031) 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 7 ways as a sum of consecutive naturals, for example, 195358 + ... + 196029.

Almost surely, 2131506032 is an apocalyptic number.

131506032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131506032 is an abundant number, since it is smaller than the sum of its proper divisors (256750864).

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

131506032 is a wasteful number, since it uses less digits than its factorization.

131506032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391405 (or 391399 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 131506032 is about 11467.6079458621. The cubic root of 131506032 is about 508.5284145512.

Subtracting 131506032 from its reverse (230605131), we obtain a palindrome (99099099).

The spelling of 131506032 in words is "one hundred thirty-one million, five hundred six thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 391387 782774 1174161 1565548 2348322 2739709 3131096 4696644 5479418 6262192 8219127 9393288 10958836 16438254 18786576 21917672 32876508 43835344 65753016 131506032