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540874584 = 233417371327
BaseRepresentation
bin100000001111010…
…001011101011000
31101200202021110000
4200033101131120
52101430441314
6125400453000
716255233555
oct4017213530
91350667400
10540874584
11258345098
1213117a160
1388096a43
1451b95a2c
153273e209
hex203d1758

540874584 has 160 divisors (see below), whose sum is σ = 1648658880. Its totient is φ = 164975616.

The previous prime is 540874573. The next prime is 540874603. The reversal of 540874584 is 485478045.

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 39 ways as a sum of consecutive naturals, for example, 406929 + ... + 408255.

It is an arithmetic number, because the mean of its divisors is an integer number (10304118).

Almost surely, 2540874584 is an apocalyptic number.

540874584 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540874584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824329440).

540874584 is an abundant number, since it is smaller than the sum of its proper divisors (1107784296).

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

540874584 is a wasteful number, since it uses less digits than its factorization.

540874584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The square root of 540874584 is about 23256.7105154620. The cubic root of 540874584 is about 814.7646749290.

The spelling of 540874584 in words is "five hundred forty million, eight hundred seventy-four thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 37 51 54 68 72 74 81 102 108 111 136 148 153 162 204 216 222 296 306 324 333 408 444 459 612 629 648 666 888 918 999 1224 1258 1327 1332 1377 1836 1887 1998 2516 2654 2664 2754 2997 3672 3774 3981 3996 5032 5308 5508 5661 5994 7548 7962 7992 10616 11016 11322 11943 11988 15096 15924 16983 22559 22644 23886 23976 31848 33966 35829 45118 45288 47772 49099 50949 67677 67932 71658 90236 95544 98198 101898 107487 135354 135864 143316 147297 180472 196396 203031 203796 214974 270708 286632 294594 392792 406062 407592 429948 441891 541416 589188 609093 812124 834683 859896 883782 1178376 1218186 1325673 1624248 1669366 1767564 1827279 2436372 2504049 2651346 3338732 3535128 3654558 3977019 4872744 5008098 5302692 6677464 7309116 7512147 7954038 10016196 10605384 14618232 15024294 15908076 20032392 22536441 30048588 31816152 45072882 60097176 67609323 90145764 135218646 180291528 270437292 540874584