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10240234400 = 2552111163663
BaseRepresentation
bin10011000100101110…
…11001001110100000
3222102122210210202202
421202113121032200
5131433000000100
64412043432332
7511522361534
oct114227311640
928378723682
1010240234400
114385388740
121b995256a8
13c726c0bc6
146d2019bc4
153ee0137d5
hex2625d93a0

10240234400 has 72 divisors (see below), whose sum is σ = 27271629504. Its totient is φ = 3723718400.

The previous prime is 10240234351. The next prime is 10240234421. The reversal of 10240234400 is 443204201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 573032 + ... + 590631.

It is an arithmetic number, because the mean of its divisors is an integer number (378772632).

Almost surely, 210240234400 is an apocalyptic number.

10240234400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10240234400 is an abundant number, since it is smaller than the sum of its proper divisors (17031395104).

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

10240234400 is a wasteful number, since it uses less digits than its factorization.

10240234400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163694 (or 1163681 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 10240234400 its reverse (443204201), we get a palindrome (10683438601).

The spelling of 10240234400 in words is "ten billion, two hundred forty million, two hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 1100 1760 2200 4400 8800 1163663 2327326 4654652 5818315 9309304 11636630 12800293 18618608 23273260 25600586 29091575 37237216 46546520 51201172 58183150 64001465 93093040 102402344 116366300 128002930 186186080 204804688 232732600 256005860 320007325 409609376 465465200 512011720 640014650 930930400 1024023440 1280029300 2048046880 2560058600 5120117200 10240234400