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540786645 = 33571930119
BaseRepresentation
bin100000001110111…
…011111111010101
31101200120210211000
4200032323333111
52101420133040
6125354533513
716254416310
oct4016737725
91350523730
10540786645
11258295013
12131137299
13880659c9
1451b71977
1532723130
hex203bbfd5

540786645 has 64 divisors (see below), whose sum is σ = 1156608000. Its totient is φ = 234197568.

The previous prime is 540786641. The next prime is 540786713. The reversal of 540786645 is 546687045.

540786645 is a `hidden beast` number, since 540 + 7 + 8 + 66 + 45 = 666.

It is not a de Polignac number, because 540786645 - 22 = 540786641 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 540786645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540786641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2896 + ... + 33014.

It is an arithmetic number, because the mean of its divisors is an integer number (18072000).

Almost surely, 2540786645 is an apocalyptic number.

It is an amenable number.

540786645 is an abundant number, since it is smaller than the sum of its proper divisors (615821355).

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

540786645 is a wasteful number, since it uses less digits than its factorization.

540786645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30159 (or 30153 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 540786645 is about 23254.8198229958. The cubic root of 540786645 is about 814.7205159093.

The spelling of 540786645 in words is "five hundred forty million, seven hundred eighty-six thousand, six hundred forty-five".

Divisors: 1 3 5 7 9 15 19 21 27 35 45 57 63 95 105 133 135 171 189 285 315 399 513 665 855 945 1197 1995 2565 3591 5985 17955 30119 90357 150595 210833 271071 451785 572261 632499 813213 1054165 1355355 1716783 1897497 2861305 3162495 4005827 4066065 5150349 5692491 8583915 9487485 12017481 15451047 20029135 25751745 28462455 36052443 60087405 77255235 108157329 180262215 540786645