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2140204520 = 23561877133
BaseRepresentation
bin111111110010000…
…1110110111101000
312112011011122200002
41333210032313220
513340343021040
6552212002132
7104015303216
oct17744166750
95464148602
102140204520
119a90a9373
124b8900348
1328152680c
14164353cb6
15c7d59a15
hex7f90ede8

2140204520 has 32 divisors (see below), whose sum is σ = 4894407720. Its totient is φ = 842046720.

The previous prime is 2140204481. The next prime is 2140204529. The reversal of 2140204520 is 254020412.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 798740644 + 1341463876 = 28262^2 + 36626^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2140204492 and 2140204501.

It is not an unprimeable number, because it can be changed into a prime (2140204529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 436127 + ... + 441006.

Almost surely, 22140204520 is an apocalyptic number.

2140204520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2140204520 is an abundant number, since it is smaller than the sum of its proper divisors (2754203200).

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

2140204520 is a wasteful number, since it uses less digits than its factorization.

2140204520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877205 (or 877201 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 2140204520 is about 46262.3445147347. The cubic root of 2140204520 is about 1288.6997936465.

Adding to 2140204520 its reverse (254020412), we get a palindrome (2394224932).

The spelling of 2140204520 in words is "two billion, one hundred forty million, two hundred four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 2440 877133 1754266 3508532 4385665 7017064 8771330 17542660 35085320 53505113 107010226 214020452 267525565 428040904 535051130 1070102260 2140204520