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2054540240 = 24525799929
BaseRepresentation
bin111101001110101…
…1100101111010000
312022011222110100222
41322131130233100
513201430241430
6535511532212
7101625206144
oct17235345720
95264873328
102054540240
11964809545
1249408a068
132698621ac
14156c15224
15c05879e5
hex7a75cbd0

2054540240 has 40 divisors (see below), whose sum is σ = 4795440840. Its totient is φ = 818610176.

The previous prime is 2054540239. The next prime is 2054540261. The reversal of 2054540240 is 420454502.

It can be written as a sum of positive squares in 4 ways, for example, as 151486864 + 1903053376 = 12308^2 + 43624^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×20545402402 = 8442271195558515200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29405 + ... + 70524.

It is an arithmetic number, because the mean of its divisors is an integer number (119886021).

Almost surely, 22054540240 is an apocalyptic number.

2054540240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2054540240 is an abundant number, since it is smaller than the sum of its proper divisors (2740900600).

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

2054540240 is a wasteful number, since it uses less digits than its factorization.

2054540240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100199 (or 100193 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 26.

The square root of 2054540240 is about 45327.0365234702. The cubic root of 2054540240 is about 1271.2712259341.

Adding to 2054540240 its reverse (420454502), we get a palindrome (2474994742).

The spelling of 2054540240 in words is "two billion, fifty-four million, five hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 257 514 1028 1285 2056 2570 4112 5140 10280 20560 99929 199858 399716 499645 799432 999290 1598864 1998580 3997160 7994320 25681753 51363506 102727012 128408765 205454024 256817530 410908048 513635060 1027270120 2054540240