Search a number
-
+
107736132 = 223712710099
BaseRepresentation
bin1100110101111…
…10110001000100
321111201120012010
412122332301010
5210040024012
614405054220
72445512340
oct632766104
9244646163
10107736132
11558a5829
12300b7370
1319421aba
1410446620
1596d1c3c
hex66bec44

107736132 has 48 divisors (see below), whose sum is σ = 289587200. Its totient is φ = 30536352.

The previous prime is 107736127. The next prime is 107736133. The reversal of 107736132 is 231637701.

It is a self number, because there is not a number n which added to its sum of digits gives 107736132.

It is not an unprimeable number, because it can be changed into a prime (107736133) 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, 5619 + ... + 15717.

Almost surely, 2107736132 is an apocalyptic number.

107736132 is a gapful number since it is divisible by the number (12) 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 107736132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144793600).

107736132 is an abundant number, since it is smaller than the sum of its proper divisors (181851068).

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

107736132 is a wasteful number, since it uses less digits than its factorization.

107736132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10240 (or 10238 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 107736132 is about 10379.6017264633. The cubic root of 107736132 is about 475.8321619508.

The spelling of 107736132 in words is "one hundred seven million, seven hundred thirty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 127 254 381 508 762 889 1524 1778 2667 3556 5334 10099 10668 20198 30297 40396 60594 70693 121188 141386 212079 282772 424158 848316 1282573 2565146 3847719 5130292 7695438 8978011 15390876 17956022 26934033 35912044 53868066 107736132