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131432644 = 22717713889
BaseRepresentation
bin1111101010110…
…00000011000100
3100011022110200201
413311120003010
5232121321034
621013020244
73154105360
oct765300304
9304273621
10131432644
1168210322
1238024684
13212ca8c5
14136542a0
15b813014
hex7d580c4

131432644 has 48 divisors (see below), whose sum is σ = 282320640. Its totient is φ = 52254720.

The previous prime is 131432641. The next prime is 131432647. The reversal of 131432644 is 446234131.

It is an interprime number because it is at equal distance from previous prime (131432641) and next prime (131432647).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (131432641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31852 + ... + 35740.

It is an arithmetic number, because the mean of its divisors is an integer number (5881680).

Almost surely, 2131432644 is an apocalyptic number.

131432644 is a gapful number since it is divisible by the number (14) 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 131432644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141160320).

131432644 is an abundant number, since it is smaller than the sum of its proper divisors (150887996).

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

131432644 is a wasteful number, since it uses less digits than its factorization.

131432644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3988 (or 3986 counting only the distinct ones).

The product of its digits is 6912, while the sum is 28.

The square root of 131432644 is about 11464.4077038458. The cubic root of 131432644 is about 508.4338008236.

Adding to 131432644 its reverse (446234131), we get a palindrome (577666775).

The spelling of 131432644 in words is "one hundred thirty-one million, four hundred thirty-two thousand, six hundred forty-four".

Divisors: 1 2 4 7 14 17 28 34 68 71 119 142 238 284 476 497 994 1207 1988 2414 3889 4828 7778 8449 15556 16898 27223 33796 54446 66113 108892 132226 264452 276119 462791 552238 925582 1104476 1851164 1932833 3865666 4694023 7731332 9388046 18776092 32858161 65716322 131432644