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10420563140 = 2251340079089
BaseRepresentation
bin10011011010001110…
…10010110011000100
3222220020010110021222
421231013102303010
5132320131010030
64442004455512
7516142216361
oct115507226304
928806113258
1010420563140
114468155359
1220299aa598
13ca0b7b5c0
1470bd5b468
1540ec843e5
hex26d1d2cc4

10420563140 has 24 divisors (see below), whose sum is σ = 23566504920. Its totient is φ = 3847592448.

The previous prime is 10420563121. The next prime is 10420563143. The reversal of 10420563140 is 4136502401.

It can be written as a sum of positive squares in 4 ways, for example, as 925619776 + 9494943364 = 30424^2 + 97442^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (10420563143) 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, 20039285 + ... + 20039804.

It is an arithmetic number, because the mean of its divisors is an integer number (981937705).

Almost surely, 210420563140 is an apocalyptic number.

10420563140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10420563140 is an abundant number, since it is smaller than the sum of its proper divisors (13145941780).

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

10420563140 is a wasteful number, since it uses less digits than its factorization.

10420563140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40079111 (or 40079109 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The spelling of 10420563140 in words is "ten billion, four hundred twenty million, five hundred sixty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 40079089 80158178 160316356 200395445 400790890 521028157 801581780 1042056314 2084112628 2605140785 5210281570 10420563140