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10245120 = 210352329
BaseRepresentation
bin100111000101…
…010000000000
3201021111122220
4213011100000
510110320440
61003331040
7153040104
oct47052000
921244586
1010245120
115868346
123520a80
132179302
141509904
15d758d0
hex9c5400

10245120 has 176 divisors, whose sum is σ = 35372160. Its totient is φ = 2523136.

The previous prime is 10245089. The next prime is 10245139. The reversal of 10245120 is 2154201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10245120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 353266 + ... + 353294.

Almost surely, 210245120 is an apocalyptic number.

10245120 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 10245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17686080).

10245120 is an abundant number, since it is smaller than the sum of its proper divisors (25127040).

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

10245120 is a wasteful number, since it uses less digits than its factorization.

10245120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 10245120 is about 3200.7999000250. The cubic root of 10245120 is about 217.1895955321.

Adding to 10245120 its reverse (2154201), we get a palindrome (12399321).

The spelling of 10245120 in words is "ten million, two hundred forty-five thousand, one hundred twenty".