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25530960 = 24357213167
BaseRepresentation
bin110000101100…
…1001001010000
31210001002220010
41201121021100
523013442320
62311114520
7430003200
oct141311120
953032803
1025530960
1113458874
128672a40
13539baa0
143568400
152394ae0
hex1859250

25530960 has 240 divisors, whose sum is σ = 99743616. Its totient is φ = 5354496.

The previous prime is 25530941. The next prime is 25530977. The reversal of 25530960 is 6903552.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 152797 + ... + 152963.

Almost surely, 225530960 is an apocalyptic number.

25530960 is a gapful number since it is divisible by the number (20) 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 25530960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49871808).

25530960 is an abundant number, since it is smaller than the sum of its proper divisors (74212656).

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

25530960 is a wasteful number, since it uses less digits than its factorization.

25530960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 25530960 is about 5052.8170360701. The cubic root of 25530960 is about 294.4573380955.

The spelling of 25530960 in words is "twenty-five million, five hundred thirty thousand, nine hundred sixty".