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20400020040 = 2335680324989
BaseRepresentation
bin10010111111111011…
…111001101001001000
31221122201020101120210
4102333323321221020
5313234401120130
613212135121120
71321350211041
oct227773715110
957581211523
1020400020040
118719308aa4
123b53b131a0
131c0152539a
14db74938c8
157e5e355b0
hex4bfef9a48

20400020040 has 64 divisors (see below), whose sum is σ = 61211505600. Its totient is φ = 5438988032.

The previous prime is 20400020029. The next prime is 20400020057. The reversal of 20400020040 is 4002000402.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 20400019998 and 20400020025.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 803866 + ... + 828854.

It is an arithmetic number, because the mean of its divisors is an integer number (956429775).

Almost surely, 220400020040 is an apocalyptic number.

20400020040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20400020040 is an abundant number, since it is smaller than the sum of its proper divisors (40811485560).

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

20400020040 is a wasteful number, since it uses less digits than its factorization.

20400020040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31806 (or 31802 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 20400020040 its reverse (4002000402), we get a palindrome (24402020442).

The spelling of 20400020040 in words is "twenty billion, four hundred million, twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 6803 13606 20409 24989 27212 34015 40818 49978 54424 68030 74967 81636 99956 102045 124945 136060 149934 163272 199912 204090 249890 272120 299868 374835 408180 499780 599736 749670 816360 999560 1499340 2998680 170000167 340000334 510000501 680000668 850000835 1020001002 1360001336 1700001670 2040002004 2550002505 3400003340 4080004008 5100005010 6800006680 10200010020 20400020040