Search a number
-
+
107189244 = 223712253
BaseRepresentation
bin1100110001110…
…01001111111100
321110200210000000
412120321033330
5204420023434
614345234300
72441044041
oct630711774
9243623000
10107189244
1155561958
122ba92990
131928cbb6
14103431c8
159624b99
hex66393fc

107189244 has 48 divisors (see below), whose sum is σ = 281351840. Its totient is φ = 35726832.

The previous prime is 107189231. The next prime is 107189273. The reversal of 107189244 is 442981701.

It is a super-2 number, since 2×1071892442 = 22979068058583072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 107189199 and 107189208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2622 + ... + 14874.

Almost surely, 2107189244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107189244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140675920).

107189244 is an abundant number, since it is smaller than the sum of its proper divisors (174162596).

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

107189244 is an equidigital number, since it uses as much as digits as its factorization.

107189244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12278 (or 12258 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 107189244 is about 10353.2238457400. The cubic root of 107189244 is about 475.0256591864.

The spelling of 107189244 in words is "one hundred seven million, one hundred eighty-nine thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 4374 8748 12253 24506 36759 49012 73518 110277 147036 220554 330831 441108 661662 992493 1323324 1984986 2977479 3969972 5954958 8932437 11909916 17864874 26797311 35729748 53594622 107189244