Search a number
-
+
10232694720 = 2632519414561
BaseRepresentation
bin10011000011110101…
…01000011111000000
3222102010121202021100
421201322220133000
5131424032212340
64411214054400
7511401320133
oct114172503700
928363552240
1010232694720
1143810a8aa6
121b96aaa400
13c70c81161
146d101621a
153ed524830
hex261ea87c0

10232694720 has 336 divisors, whose sum is σ = 37960584480. Its totient is φ = 2521497600.

The previous prime is 10232694713. The next prime is 10232694743. The reversal of 10232694720 is 2749623201.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2241240 + ... + 2245800.

It is an arithmetic number, because the mean of its divisors is an integer number (112977930).

Almost surely, 210232694720 is an apocalyptic number.

10232694720 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 10232694720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18980292240).

10232694720 is an abundant number, since it is smaller than the sum of its proper divisors (27727889760).

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

10232694720 is a wasteful number, since it uses less digits than its factorization.

10232694720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4644 (or 4631 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 10232694720 in words is "ten billion, two hundred thirty-two million, six hundred ninety-four thousand, seven hundred twenty".