Search a number
-
+
107018700 = 223522912301
BaseRepresentation
bin1100110000011…
…11100111001100
321110101010001120
412120033213030
5204344044300
614341440540
72436433605
oct630174714
9243333046
10107018700
1155455808
122ba10150
1319230399
14102dadac
1595de3a0
hex660f9cc

107018700 has 72 divisors (see below), whose sum is σ = 320344080. Its totient is φ = 27552000.

The previous prime is 107018699. The next prime is 107018711. The reversal of 107018700 is 7810701.

It is a super-2 number, since 2×1070187002 = 22906004299380000, which contains 22 as substring.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2550 + ... + 14850.

Almost surely, 2107018700 is an apocalyptic number.

107018700 is a gapful number since it is divisible by the number (10) 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 107018700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160172040).

107018700 is an abundant number, since it is smaller than the sum of its proper divisors (213325380).

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

107018700 is a wasteful number, since it uses less digits than its factorization.

107018700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12347 (or 12340 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 24.

The square root of 107018700 is about 10344.9842919165. The cubic root of 107018700 is about 474.7735947805.

The spelling of 107018700 in words is "one hundred seven million, eighteen thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 580 725 870 1450 1740 2175 2900 4350 8700 12301 24602 36903 49204 61505 73806 123010 147612 184515 246020 307525 356729 369030 615050 713458 738060 922575 1070187 1230100 1426916 1783645 1845150 2140374 3567290 3690300 4280748 5350935 7134580 8918225 10701870 17836450 21403740 26754675 35672900 53509350 107018700