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540645456 = 2431319311471
BaseRepresentation
bin100000001110011…
…001100001010000
31101200022122010210
4200032121201100
52101401123311
6125351524120
716253260551
oct4016314120
91350278123
10540645456
112581a8a2a
12131089640
1388016670
1451b36328
15326e63a6
hex20399850

540645456 has 160 divisors (see below), whose sum is σ = 1635450880. Its totient is φ = 152409600.

The previous prime is 540645439. The next prime is 540645491. The reversal of 540645456 is 654546045.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 366801 + ... + 368271.

It is an arithmetic number, because the mean of its divisors is an integer number (10221568).

Almost surely, 2540645456 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 540645456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817725440).

540645456 is an abundant number, since it is smaller than the sum of its proper divisors (1094805424).

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

540645456 is a wasteful number, since it uses less digits than its factorization.

540645456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1545 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 39.

The square root of 540645456 is about 23251.7839315610. The cubic root of 540645456 is about 814.6496071149.

The spelling of 540645456 in words is "five hundred forty million, six hundred forty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 31 38 39 48 52 57 62 76 78 93 104 114 124 152 156 186 208 228 247 248 304 312 372 403 456 494 496 589 624 741 744 806 912 988 1178 1209 1471 1482 1488 1612 1767 1976 2356 2418 2942 2964 3224 3534 3952 4413 4712 4836 5884 5928 6448 7068 7657 8826 9424 9672 11768 11856 14136 15314 17652 19123 19344 22971 23536 27949 28272 30628 35304 38246 45601 45942 55898 57369 61256 70608 76492 83847 91202 91884 111796 114738 122512 136803 152984 167694 182404 183768 223592 229476 273606 305968 335388 363337 364808 367536 447184 458952 547212 592813 670776 726674 729616 866419 917904 1090011 1094424 1185626 1341552 1453348 1732838 1778439 2180022 2188848 2371252 2599257 2906696 3465676 3556878 4360044 4742504 5198514 5813392 6931352 7113756 8720088 9485008 10397028 11263447 13862704 14227512 17440176 20794056 22526894 28455024 33790341 41588112 45053788 67580682 90107576 135161364 180215152 270322728 540645456