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10420120 = 235892927
BaseRepresentation
bin100111101111…
…111110011000
3201121101201101
4213233332120
510131420440
61011201144
7154366234
oct47577630
921541641
1010420120
115977877
1235a61b4
13220ab69
1415535c4
15dac69a
hex9eff98

10420120 has 32 divisors (see below), whose sum is σ = 23716800. Its totient is φ = 4119808.

The previous prime is 10420103. The next prime is 10420129. The reversal of 10420120 is 2102401.

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 = 10420097 and 10420106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10420129) 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, 2097 + ... + 5023.

It is an arithmetic number, because the mean of its divisors is an integer number (741150).

Almost surely, 210420120 is an apocalyptic number.

10420120 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 10420120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11858400).

10420120 is an abundant number, since it is smaller than the sum of its proper divisors (13296680).

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

10420120 is a wasteful number, since it uses less digits than its factorization.

10420120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3027 (or 3023 counting only the distinct ones).

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

The square root of 10420120 is about 3228.0210656066. The cubic root of 10420120 is about 218.4192476339.

Adding to 10420120 its reverse (2102401), we get a palindrome (12522521).

The spelling of 10420120 in words is "ten million, four hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 89 178 356 445 712 890 1780 2927 3560 5854 11708 14635 23416 29270 58540 117080 260503 521006 1042012 1302515 2084024 2605030 5210060 10420120