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20340124400 = 2452291753459
BaseRepresentation
bin10010111100010111…
…011010101011110000
31221111112112101012202
4102330113122223300
5313124032440100
613202155242332
71320022130141
oct227427325360
957445471182
1020340124400
118698519572
123b37a493a8
131bc1cb3a8b
14dad541ac8
157e0a537d5
hex4bc5daaf0

20340124400 has 60 divisors (see below), whose sum is σ = 50552251800. Its totient is φ = 7855491840.

The previous prime is 20340124379. The next prime is 20340124417. The reversal of 20340124400 is 442104302.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 865130 + ... + 888329.

It is an arithmetic number, because the mean of its divisors is an integer number (842537530).

Almost surely, 220340124400 is an apocalyptic number.

20340124400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20340124400 is an abundant number, since it is smaller than the sum of its proper divisors (30212127400).

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

20340124400 is a wasteful number, since it uses less digits than its factorization.

20340124400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753506 (or 1753495 counting only the distinct ones).

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

Adding to 20340124400 its reverse (442104302), we get a palindrome (20782228702).

The spelling of 20340124400 in words is "twenty billion, three hundred forty million, one hundred twenty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 145 200 232 290 400 464 580 725 1160 1450 2320 2900 5800 11600 1753459 3506918 7013836 8767295 14027672 17534590 28055344 35069180 43836475 50850311 70138360 87672950 101700622 140276720 175345900 203401244 254251555 350691800 406802488 508503110 701383600 813604976 1017006220 1271257775 2034012440 2542515550 4068024880 5085031100 10170062200 20340124400