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10240402400 = 255212800503
BaseRepresentation
bin10011000100110000…
…00010001111100000
3222102200010100012222
421202120002033200
5131433020334100
64412051210212
7511523661404
oct114230021740
928380110188
1010240402400
114385492988
121b995a6968
13c7274c507
146d2061104
153ee048485
hex2626023e0

10240402400 has 36 divisors (see below), whose sum is σ = 24999384312. Its totient is φ = 4096160640.

The previous prime is 10240402397. The next prime is 10240402411. The reversal of 10240402400 is 420404201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6399452 + ... + 6401051.

It is an arithmetic number, because the mean of its divisors is an integer number (694427342).

Almost surely, 210240402400 is an apocalyptic number.

10240402400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10240402400 is an abundant number, since it is smaller than the sum of its proper divisors (14758981912).

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

10240402400 is a wasteful number, since it uses less digits than its factorization.

10240402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12800523 (or 12800510 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 10240402400 its reverse (420404201), we get a palindrome (10660806601).

The spelling of 10240402400 in words is "ten billion, two hundred forty million, four hundred two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 12800503 25601006 51202012 64002515 102404024 128005030 204808048 256010060 320012575 409616096 512020120 640025150 1024040240 1280050300 2048080480 2560100600 5120201200 10240402400