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131128632 = 233567453
BaseRepresentation
bin1111101000011…
…01110100111000
3100010202000200000
413310031310320
5232032104012
621002313000
73151401135
oct764156470
9303660600
10131128632
1168022978
1237ab8760
132122240b
14135b558c
15b7a2ddc
hex7d0dd38

131128632 has 48 divisors (see below), whose sum is σ = 368298840. Its totient is φ = 43708896.

The previous prime is 131128609. The next prime is 131128651. The reversal of 131128632 is 236821131.

It is a happy number.

131128632 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 28 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 131128596 and 131128605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31783 + ... + 35670.

Almost surely, 2131128632 is an apocalyptic number.

131128632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131128632 is an abundant number, since it is smaller than the sum of its proper divisors (237170208).

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

131128632 is an equidigital number, since it uses as much as digits as its factorization.

131128632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67474 (or 67458 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 131128632 is about 11451.1410785127. The cubic root of 131128632 is about 508.0414850284.

Adding to 131128632 its reverse (236821131), we get a palindrome (367949763).

The spelling of 131128632 in words is "one hundred thirty-one million, one hundred twenty-eight thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 67453 134906 202359 269812 404718 539624 607077 809436 1214154 1618872 1821231 2428308 3642462 4856616 5463693 7284924 10927386 14569848 16391079 21854772 32782158 43709544 65564316 131128632