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25002120 = 233511133147
BaseRepresentation
bin101111101100…
…0000010001000
31202001020110110
41133120002020
522400031440
62251514320
7422341323
oct137300210
952036413
1025002120
1113127510
1284589a0
135245170
14346b7ba
1522dd080
hex17d8088

25002120 has 256 divisors, whose sum is σ = 92897280. Its totient is φ = 5299200.

The previous prime is 25002101. The next prime is 25002137. The reversal of 25002120 is 2120052.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 25002096 and 25002105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 531937 + ... + 531983.

It is an arithmetic number, because the mean of its divisors is an integer number (362880).

Almost surely, 225002120 is an apocalyptic number.

25002120 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 25002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46448640).

25002120 is an abundant number, since it is smaller than the sum of its proper divisors (67895160).

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

25002120 is a wasteful number, since it uses less digits than its factorization.

25002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 25002120 is about 5000.2119955058. The cubic root of 25002120 is about 292.4100388111.

Adding to 25002120 its reverse (2120052), we get a palindrome (27122172).

The spelling of 25002120 in words is "twenty-five million, two thousand, one hundred twenty".