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2054130435 = 34571315531
BaseRepresentation
bin111101001101111…
…1000101100000011
312022011012122020000
41322123320230003
513201324133220
6535455051043
7101621551320
oct17233705403
95264178200
102054130435
11964559665
12493b10a83
1326974a7c6
14156b49b47
15c0506390
hex7a6f8b03

2054130435 has 80 divisors (see below), whose sum is σ = 4241140992. Its totient is φ = 931694400.

The previous prime is 2054130433. The next prime is 2054130439. The reversal of 2054130435 is 5340314502.

2054130435 is a `hidden beast` number, since 205 + 413 + 0 + 43 + 5 = 666.

It is not a de Polignac number, because 2054130435 - 21 = 2054130433 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2054130399 and 2054130408.

It is not an unprimeable number, because it can be changed into a prime (2054130433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 368620 + ... + 374150.

Almost surely, 22054130435 is an apocalyptic number.

2054130435 is an abundant number, since it is smaller than the sum of its proper divisors (2187010557).

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

2054130435 is a wasteful number, since it uses less digits than its factorization.

2054130435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5686 (or 5677 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2054130435 is about 45322.5157620360. The cubic root of 2054130435 is about 1271.1866964066.

Adding to 2054130435 its reverse (5340314502), we get a palindrome (7394444937).

The spelling of 2054130435 in words is "two billion, fifty-four million, one hundred thirty thousand, four hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 131 135 189 315 393 405 567 655 917 945 1179 1965 2751 2835 3537 4585 5531 5895 8253 10611 13755 16593 17685 24759 27655 38717 41265 49779 53055 74277 82965 116151 123795 149337 193585 248895 348453 371385 448011 580755 724561 746685 1045359 1742265 2173683 2240055 3136077 3622805 5071927 5226795 6521049 10868415 15215781 15680385 19563147 25359635 32605245 45647343 58689441 76078905 97815735 136942029 228236715 293447205 410826087 684710145 2054130435