Search a number
-
+
107180604 = 22331994987
BaseRepresentation
bin1100110001101…
…11001000111100
321110200100011000
412120313020330
5204414234404
614345130300
72441006616
oct630671074
9243610130
10107180604
1155556413
122ba89990
1319288c9b
141033ddb6
159622339
hex663723c

107180604 has 48 divisors (see below), whose sum is σ = 279328000. Its totient is φ = 35540208.

The previous prime is 107180587. The next prime is 107180627. The reversal of 107180604 is 406081701.

It is a happy number.

It is a super-2 number, since 2×1071806042 = 22975363747609632, which contains 22 as substring.

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

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, 18999 + ... + 23985.

Almost surely, 2107180604 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 107180604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139664000).

107180604 is an abundant number, since it is smaller than the sum of its proper divisors (172147396).

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

107180604 is a wasteful number, since it uses less digits than its factorization.

107180604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5199 (or 5191 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 107180604 is about 10352.8065759967. The cubic root of 107180604 is about 475.0128956794.

The spelling of 107180604 in words is "one hundred seven million, one hundred eighty thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 199 398 597 796 1194 1791 2388 3582 4987 5373 7164 9974 10746 14961 19948 21492 29922 44883 59844 89766 134649 179532 269298 538596 992413 1984826 2977239 3969652 5954478 8931717 11908956 17863434 26795151 35726868 53590302 107180604