Search a number
-
+
540562304 = 2737157727
BaseRepresentation
bin100000001110000…
…101001110000000
31101200011102002002
4200032011032000
52101340443204
6125350043132
716252463252
oct4016051600
91350142062
10540562304
11258151507
121310494a8
1387cb7869
1451b13cd2
15326cb91e
hex20385380

540562304 has 64 divisors (see below), whose sum is σ = 1114582560. Its totient is φ = 260941824.

The previous prime is 540562303. The next prime is 540562339. The reversal of 540562304 is 403265045.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540562301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 743189 + ... + 743915.

Almost surely, 2540562304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540562304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557291280).

540562304 is an abundant number, since it is smaller than the sum of its proper divisors (574020256).

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

540562304 is a wasteful number, since it uses less digits than its factorization.

540562304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The square root of 540562304 is about 23249.9957849459. The cubic root of 540562304 is about 814.6078402376.

The spelling of 540562304 in words is "five hundred forty million, five hundred sixty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 157 296 314 592 628 727 1184 1256 1454 2368 2512 2908 4736 5024 5809 5816 10048 11618 11632 20096 23236 23264 26899 46472 46528 53798 92944 93056 107596 114139 185888 215192 228278 371776 430384 456556 743552 860768 913112 1721536 1826224 3443072 3652448 4223143 7304896 8446286 14609792 16892572 33785144 67570288 135140576 270281152 540562304