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10120420 = 2252917449
BaseRepresentation
bin100110100110…
…110011100100
3201001011121101
4212212303210
510042323140
61000525444
7152010412
oct46466344
921034541
1010120420
115792692
123480884
13213461b
1414b62b2
15d4d99a
hex9a6ce4

10120420 has 24 divisors (see below), whose sum is σ = 21987000. Its totient is φ = 3908352.

The previous prime is 10120387. The next prime is 10120421. The reversal of 10120420 is 2402101.

10120420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4088484 + 6031936 = 2022^2 + 2456^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10120397 and 10120406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120421) 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, 8145 + ... + 9304.

It is an arithmetic number, because the mean of its divisors is an integer number (916125).

Almost surely, 210120420 is an apocalyptic number.

10120420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120420 is an abundant number, since it is smaller than the sum of its proper divisors (11866580).

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

10120420 is a wasteful number, since it uses less digits than its factorization.

10120420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17487 (or 17485 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 10120420 is about 3181.2607563669. The cubic root of 10120420 is about 216.3048108583.

Adding to 10120420 its reverse (2402101), we get a palindrome (12522521).

The spelling of 10120420 in words is "ten million, one hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 17449 34898 69796 87245 174490 348980 506021 1012042 2024084 2530105 5060210 10120420