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131672816 = 24111315711
BaseRepresentation
bin1111101100100…
…10101011110000
3100011202200010222
413312102223300
5232202012231
621022112212
73156125522
oct766225360
9304680128
10131672816
1168364810
123811b668
1321383012
14136b7a12
15b85e27b
hex7d92af0

131672816 has 40 divisors (see below), whose sum is σ = 280482048. Its totient is φ = 59384000.

The previous prime is 131672797. The next prime is 131672819. The reversal of 131672816 is 618276131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131672819) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20201 + ... + 25911.

Almost surely, 2131672816 is an apocalyptic number.

131672816 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 131672816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140241024).

131672816 is an abundant number, since it is smaller than the sum of its proper divisors (148809232).

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

131672816 is a wasteful number, since it uses less digits than its factorization.

131672816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5861 (or 5855 counting only the distinct ones).

The product of its digits is 12096, while the sum is 35.

The square root of 131672816 is about 11474.8776028331. The cubic root of 131672816 is about 508.7433060190.

The spelling of 131672816 in words is "one hundred thirty-one million, six hundred seventy-two thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 16 22 44 88 131 176 262 524 1048 1441 2096 2882 5711 5764 11422 11528 22844 23056 45688 62821 91376 125642 251284 502568 748141 1005136 1496282 2992564 5985128 8229551 11970256 16459102 32918204 65836408 131672816