Search a number
-
+
109715424 = 25371319661
BaseRepresentation
bin1101000101000…
…01111111100000
321122110010021020
412202201333200
5211041343144
614515325440
72501365020
oct642417740
9248403236
10109715424
1156a27905
12308b0880
1319965990
14107dda80
159973419
hex68a1fe0

109715424 has 192 divisors, whose sum is σ = 373685760. Its totient is φ = 27371520.

The previous prime is 109715413. The next prime is 109715449. The reversal of 109715424 is 424517901.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165654 + ... + 166314.

It is an arithmetic number, because the mean of its divisors is an integer number (1946280).

Almost surely, 2109715424 is an apocalyptic number.

109715424 is a gapful number since it is divisible by the number (14) 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 109715424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186842880).

109715424 is an abundant number, since it is smaller than the sum of its proper divisors (263970336).

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

109715424 is a wasteful number, since it uses less digits than its factorization.

109715424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 109715424 is about 10474.5130674414. The cubic root of 109715424 is about 478.7284400619.

The spelling of 109715424 in words is "one hundred nine million, seven hundred fifteen thousand, four hundred twenty-four".