Search a number
-
+
109102560 = 25357191709
BaseRepresentation
bin1101000000011…
…00010111100000
321121021222120120
412200030113200
5210412240220
614454240240
72463233160
oct640142740
9247258516
10109102560
1156649406
1230656080
13197aca38
14106c05a0
1598a1a40
hex680c5e0

109102560 has 192 divisors, whose sum is σ = 413683200. Its totient is φ = 23611392.

The previous prime is 109102493. The next prime is 109102589. The reversal of 109102560 is 65201901.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 109102560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62986 + ... + 64694.

It is an arithmetic number, because the mean of its divisors is an integer number (2154600).

Almost surely, 2109102560 is an apocalyptic number.

109102560 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 109102560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206841600).

109102560 is an abundant number, since it is smaller than the sum of its proper divisors (304580640).

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

109102560 is a wasteful number, since it uses less digits than its factorization.

109102560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1753 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 109102560 is about 10445.2170872606. The cubic root of 109102560 is about 477.8353920466.

The spelling of 109102560 in words is "one hundred nine million, one hundred two thousand, five hundred sixty".