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10725120 = 283257219
BaseRepresentation
bin101000111010…
…011100000000
3202011220002200
4220322130000
510221200440
61021513200
7160106400
oct50723400
922156080
1010725120
116065a3a
123712800
1322b6933
1415d2800
15e1cc30
hexa3a700

10725120 has 324 divisors, whose sum is σ = 45438120. Its totient is φ = 2322432.

The previous prime is 10725097. The next prime is 10725131. The reversal of 10725120 is 2152701.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10725093 and 10725102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 564471 + ... + 564489.

Almost surely, 210725120 is an apocalyptic number.

10725120 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 10725120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22719060).

10725120 is an abundant number, since it is smaller than the sum of its proper divisors (34713000).

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

10725120 is a wasteful number, since it uses less digits than its factorization.

10725120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 10725120 is about 3274.9228998558. The cubic root of 10725120 is about 220.5298523453.

Adding to 10725120 its reverse (2152701), we get a palindrome (12877821).

The spelling of 10725120 in words is "ten million, seven hundred twenty-five thousand, one hundred twenty".