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2070565120 = 28513124433
BaseRepresentation
bin111101101101010…
…0101000100000000
312100022010121101001
41323122211010000
513220031040440
6541243221344
7102211341001
oct17332450400
95308117331
102070565120
11972864248
12499517854
1326cc83180
14158dc71a8
15c1ba0b9a
hex7b6a5100

2070565120 has 72 divisors (see below), whose sum is σ = 5341205016. Its totient is φ = 764510208.

The previous prime is 2070565069. The next prime is 2070565121. The reversal of 2070565120 is 215650702.

It can be written as a sum of positive squares in 4 ways, for example, as 398082304 + 1672482816 = 19952^2 + 40896^2 .

It is a super-2 number, since 2×20705651202 = 8574479832321228800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2070565121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45577 + ... + 78856.

It is an arithmetic number, because the mean of its divisors is an integer number (74183403).

Almost surely, 22070565120 is an apocalyptic number.

2070565120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2070565120 is an abundant number, since it is smaller than the sum of its proper divisors (3270639896).

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

2070565120 is a wasteful number, since it uses less digits than its factorization.

2070565120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124467 (or 124453 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 2070565120 is about 45503.4627253795. The cubic root of 2070565120 is about 1274.5678648309.

The spelling of 2070565120 in words is "two billion, seventy million, five hundred sixty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 520 640 832 1040 1280 1664 2080 3328 4160 8320 16640 124433 248866 497732 622165 995464 1244330 1617629 1990928 2488660 3235258 3981856 4977320 6470516 7963712 8088145 9954640 12941032 15927424 16176290 19909280 25882064 31854848 32352580 39818560 51764128 64705160 79637120 103528256 129410320 159274240 207056512 258820640 414113024 517641280 1035282560 2070565120