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2593185420 = 223576792153
BaseRepresentation
bin1001101010010000…
…1101111010001100
320200201112110122110
42122210031322030
520302323413140
61105152544020
7121155466230
oct23244157214
96621473573
102593185420
111110870651
12604552010
13324328257
141a858a5c0
151029d6380
hex9a90de8c

2593185420 has 96 divisors (see below), whose sum is σ = 8422138368. Its totient is φ = 583875072.

The previous prime is 2593185401. The next prime is 2593185437. The reversal of 2593185420 is 245813952.

It is a super-2 number, since 2×25931854202 = 13449221245001152800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17937 + ... + 74216.

It is an arithmetic number, because the mean of its divisors is an integer number (87730608).

Almost surely, 22593185420 is an apocalyptic number.

2593185420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2593185420 is an abundant number, since it is smaller than the sum of its proper divisors (5828952948).

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

2593185420 is a wasteful number, since it uses less digits than its factorization.

2593185420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92239 (or 92237 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 2593185420 is about 50923.3288385589. The cubic root of 2593185420 is about 1373.8664676606.

The spelling of 2593185420 in words is "two billion, five hundred ninety-three million, one hundred eighty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 67 70 84 105 134 140 201 210 268 335 402 420 469 670 804 938 1005 1340 1407 1876 2010 2345 2814 4020 4690 5628 7035 9380 14070 28140 92153 184306 276459 368612 460765 552918 645071 921530 1105836 1290142 1382295 1843060 1935213 2580284 2764590 3225355 3870426 5529180 6174251 6450710 7740852 9676065 12348502 12901420 18522753 19352130 24697004 30871255 37045506 38704260 43219757 61742510 74091012 86439514 92613765 123485020 129659271 172879028 185227530 216098785 259318542 370455060 432197570 518637084 648296355 864395140 1296592710 2593185420