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131703376 = 2472315419
BaseRepresentation
bin1111101100110…
…10001001010000
3100011211020001211
413312122021100
5232204002001
621022505504
73156313600
oct766321120
9304736054
10131703376
1168385772
1238135294
1321393bbc
14136c4c00
15b868351
hex7d9a250

131703376 has 60 divisors (see below), whose sum is σ = 306468480. Its totient is φ = 54613440.

The previous prime is 131703373. The next prime is 131703379. The reversal of 131703376 is 673307131.

It is an interprime number because it is at equal distance from previous prime (131703373) and next prime (131703379).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131703371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21595 + ... + 27013.

It is an arithmetic number, because the mean of its divisors is an integer number (5107808).

Almost surely, 2131703376 is an apocalyptic number.

131703376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131703376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153234240).

131703376 is an abundant number, since it is smaller than the sum of its proper divisors (174765104).

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

131703376 is a wasteful number, since it uses less digits than its factorization.

131703376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5472 (or 5459 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 31.

The square root of 131703376 is about 11476.2091301963. The cubic root of 131703376 is about 508.7826611248.

The spelling of 131703376 in words is "one hundred thirty-one million, seven hundred three thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 31 49 56 62 98 112 124 196 217 248 392 434 496 784 868 1519 1736 3038 3472 5419 6076 10838 12152 21676 24304 37933 43352 75866 86704 151732 167989 265531 303464 335978 531062 606928 671956 1062124 1175923 1343912 2124248 2351846 2687824 4248496 4703692 8231461 9407384 16462922 18814768 32925844 65851688 131703376