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20303973540 = 2234512533317
BaseRepresentation
bin10010111010001101…
…100000110010100100
31221102000111201120000
4102322031200302210
5313040304123130
613154424341300
71316102633064
oct227215406244
957360451500
1020303973540
11867a077924
123b27914830
131bb7667236
14da88113a4
157dc7b2260
hex4ba360ca4

20303973540 has 60 divisors (see below), whose sum is σ = 63694322076. Its totient is φ = 5414392512.

The previous prime is 20303973523. The next prime is 20303973563. The reversal of 20303973540 is 4537930302.

20303973540 is a `hidden beast` number, since 20 + 3 + 0 + 3 + 97 + 3 + 540 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5414605056 + 14889368484 = 73584^2 + 122022^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20303973495 and 20303973504.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6265039 + ... + 6268278.

Almost surely, 220303973540 is an apocalyptic number.

20303973540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20303973540 is an abundant number, since it is smaller than the sum of its proper divisors (43390348536).

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

20303973540 is a wasteful number, since it uses less digits than its factorization.

20303973540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12533338 (or 12533327 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The spelling of 20303973540 in words is "twenty billion, three hundred three million, nine hundred seventy-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 12533317 25066634 37599951 50133268 62666585 75199902 112799853 125333170 150399804 187999755 225599706 250666340 338399559 375999510 451199412 563999265 676799118 751999020 1015198677 1127998530 1353598236 1691997795 2030397354 2255997060 3383995590 4060794708 5075993385 6767991180 10151986770 20303973540