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10402020 = 223456421
BaseRepresentation
bin100111101011…
…100011100100
3201120110220000
4213223203210
510130331040
61010541300
7154262406
oct47534344
921513800
1010402020
115965212
123597830
132202855
14154ab76
15da7130
hex9eb8e4

10402020 has 60 divisors (see below), whose sum is σ = 32636604. Its totient is φ = 2773440.

The previous prime is 10401973. The next prime is 10402031. The reversal of 10402020 is 2020401.

It can be written as a sum of positive squares in 2 ways, for example, as 3305124 + 7096896 = 1818^2 + 2664^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (9).

10402020 is a modest number, since divided by 2020 gives 1040 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 10401993 and 10402011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1591 + ... + 4830.

Almost surely, 210402020 is an apocalyptic number.

10402020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10402020 is an abundant number, since it is smaller than the sum of its proper divisors (22234584).

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

10402020 is a wasteful number, since it uses less digits than its factorization.

10402020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6442 (or 6431 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 10402020 is about 3225.2162718181. The cubic root of 10402020 is about 218.2927078360.

Adding to 10402020 its reverse (2020401), we get a palindrome (12422421).

The spelling of 10402020 in words is "ten million, four hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 6421 12842 19263 25684 32105 38526 57789 64210 77052 96315 115578 128420 173367 192630 231156 288945 346734 385260 520101 577890 693468 866835 1040202 1155780 1733670 2080404 2600505 3467340 5201010 10402020