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540824440 = 235134125367
BaseRepresentation
bin100000001111000…
…101001101111000
31101200122201122211
4200033011031320
52101422340230
6125355424504
716254634432
oct4017051570
91350581584
10540824440
11258310452
12131155134
1388079c80
1451b81652
153272e42a
hex203c5378

540824440 has 64 divisors (see below), whose sum is σ = 1342474560. Its totient is φ = 194810880.

The previous prime is 540824387. The next prime is 540824477. The reversal of 540824440 is 44428045.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8637 + ... + 34003.

It is an arithmetic number, because the mean of its divisors is an integer number (20976165).

Almost surely, 2540824440 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 540824440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671237280).

540824440 is an abundant number, since it is smaller than the sum of its proper divisors (801650120).

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

540824440 is a wasteful number, since it uses less digits than its factorization.

540824440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25432 (or 25428 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 31.

The square root of 540824440 is about 23255.6324360358. The cubic root of 540824440 is about 814.7394954489.

The spelling of 540824440 in words is "five hundred forty million, eight hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 41 52 65 82 104 130 164 205 260 328 410 520 533 820 1066 1640 2132 2665 4264 5330 10660 21320 25367 50734 101468 126835 202936 253670 329771 507340 659542 1014680 1040047 1319084 1648855 2080094 2638168 3297710 4160188 5200235 6595420 8320376 10400470 13190840 13520611 20800940 27041222 41601880 54082444 67603055 108164888 135206110 270412220 540824440