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10128120 = 233584401
BaseRepresentation
bin100110101000…
…101011111000
3201001120011120
4212220223320
510043044440
61001025240
7152042022
oct46505370
921046146
1010128120
115798452
123485220
132137c92
1414b9012
15d50dd0
hex9a8af8

10128120 has 32 divisors (see below), whose sum is σ = 30384720. Its totient is φ = 2700800.

The previous prime is 10128109. The next prime is 10128127. The reversal of 10128120 is 2182101.

10128120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10128120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10128127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42081 + ... + 42320.

Almost surely, 210128120 is an apocalyptic number.

10128120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10128120 is an abundant number, since it is smaller than the sum of its proper divisors (20256600).

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

10128120 is a wasteful number, since it uses less digits than its factorization.

10128120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84415 (or 84411 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 10128120 is about 3182.4707382787. The cubic root of 10128120 is about 216.3596545907.

The spelling of 10128120 in words is "ten million, one hundred twenty-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 84401 168802 253203 337604 422005 506406 675208 844010 1012812 1266015 1688020 2025624 2532030 3376040 5064060 10128120