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107544132 = 22339831013
BaseRepresentation
bin1100110100011…
…11111001000100
321111100210211000
412122033321010
5210012403012
614401013300
72444052513
oct632177104
9244323730
10107544132
1155784553
1230024230
13193855a7
14103d667a
159694ddc
hex668fe44

107544132 has 48 divisors (see below), whose sum is σ = 279377280. Its totient is φ = 35776224.

The previous prime is 107544127. The next prime is 107544133. The reversal of 107544132 is 231445701.

107544132 is a `hidden beast` number, since 107 + 544 + 13 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 107544096 and 107544105.

It is not an unprimeable number, because it can be changed into a prime (107544133) 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, 105658 + ... + 106670.

It is an arithmetic number, because the mean of its divisors is an integer number (5820360).

Almost surely, 2107544132 is an apocalyptic number.

107544132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107544132 is an abundant number, since it is smaller than the sum of its proper divisors (171833148).

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

107544132 is a wasteful number, since it uses less digits than its factorization.

107544132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2009 (or 2001 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 107544132 is about 10370.3486923054. The cubic root of 107544132 is about 475.5493286404.

Adding to 107544132 its reverse (231445701), we get a palindrome (338989833).

The spelling of 107544132 in words is "one hundred seven million, five hundred forty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 983 1013 1966 2026 2949 3039 3932 4052 5898 6078 8847 9117 11796 12156 17694 18234 26541 27351 35388 36468 53082 54702 106164 109404 995779 1991558 2987337 3983116 5974674 8962011 11949348 17924022 26886033 35848044 53772066 107544132