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20035354240 = 275112258721
BaseRepresentation
bin10010101010001100…
…110011111010000000
31220201022001110011001
4102222030303322000
5312013022313430
613112031101344
71306331462326
oct225214637200
956638043131
1020035354240
118551487200
123a71971854
131b73b059c5
14d80c89d16
157c3e013ca
hex4aa333e80

20035354240 has 96 divisors (see below), whose sum is σ = 52647339780. Its totient is φ = 7285555200.

The previous prime is 20035354237. The next prime is 20035354259. The reversal of 20035354240 is 4245353002.

It can be written as a sum of positive squares in 2 ways, for example, as 19998485056 + 36869184 = 141416^2 + 6072^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20035354199 and 20035354208.

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, 51921 + ... + 206800.

Almost surely, 220035354240 is an apocalyptic number.

20035354240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20035354240 is an abundant number, since it is smaller than the sum of its proper divisors (32611985540).

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

20035354240 is a wasteful number, since it uses less digits than its factorization.

20035354240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258762 (or 258739 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

The spelling of 20035354240 in words is "twenty billion, thirty-five million, three hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 128 160 176 220 242 320 352 440 484 605 640 704 880 968 1210 1408 1760 1936 2420 3520 3872 4840 7040 7744 9680 15488 19360 38720 77440 258721 517442 1034884 1293605 2069768 2587210 2845931 4139536 5174420 5691862 8279072 10348840 11383724 14229655 16558144 20697680 22767448 28459310 31305241 33116288 41395360 45534896 56918620 62610482 82790720 91069792 113837240 125220964 156526205 165581440 182139584 227674480 250441928 313052410 364279168 455348960 500883856 626104820 910697920 1001767712 1252209640 1821395840 2003535424 2504419280 4007070848 5008838560 10017677120 20035354240