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10420100 = 2252791319
BaseRepresentation
bin100111101111…
…111110000100
3201121101200122
4213233332010
510131420400
61011201112
7154366205
oct47577604
921541618
1010420100
115977859
1235a6198
13220ab52
1415535ac
15dac685
hex9eff84

10420100 has 36 divisors (see below), whose sum is σ = 22915200. Its totient is φ = 4112160.

The previous prime is 10420087. The next prime is 10420103. The reversal of 10420100 is 102401.

It is not an unprimeable number, because it can be changed into a prime (10420103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7241 + ... + 8559.

Almost surely, 210420100 is an apocalyptic number.

10420100 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 10420100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11457600).

10420100 is an abundant number, since it is smaller than the sum of its proper divisors (12495100).

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

10420100 is a wasteful number, since it uses less digits than its factorization.

10420100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 10420100 is about 3228.0179677319. The cubic root of 10420100 is about 218.4191078918.

Adding to 10420100 its reverse (102401), we get a palindrome (10522501).

The spelling of 10420100 in words is "ten million, four hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 79 100 158 316 395 790 1319 1580 1975 2638 3950 5276 6595 7900 13190 26380 32975 65950 104201 131900 208402 416804 521005 1042010 2084020 2605025 5210050 10420100