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10020423240 = 2332527834509
BaseRepresentation
bin10010101010100001…
…11000011001001000
3221212100012020112200
421111100320121020
5131010212020430
64334152240200
7503213122632
oct112520703110
927770166480
1010020423240
1142822a4323
121b379a0060
13c38cbb429
146b0b5ba52
153d9a94460
hex255438648

10020423240 has 48 divisors (see below), whose sum is σ = 32566376700. Its totient is φ = 2672112768.

The previous prime is 10020423233. The next prime is 10020423251. The reversal of 10020423240 is 4232402001.

10020423240 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 0 + 423 + 240 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9265602564 + 754820676 = 96258^2 + 27474^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 11 ways as a sum of consecutive naturals, for example, 13916895 + ... + 13917614.

Almost surely, 210020423240 is an apocalyptic number.

10020423240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020423240 is an abundant number, since it is smaller than the sum of its proper divisors (22545953460).

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

10020423240 is a wasteful number, since it uses less digits than its factorization.

10020423240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27834526 (or 27834519 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 10020423240 its reverse (4232402001), we get a palindrome (14252825241).

The spelling of 10020423240 in words is "ten billion, twenty million, four hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 27834509 55669018 83503527 111338036 139172545 167007054 222676072 250510581 278345090 334014108 417517635 501021162 556690180 668028216 835035270 1002042324 1113380360 1252552905 1670070540 2004084648 2505105810 3340141080 5010211620 10020423240