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540267912 = 233229353733
BaseRepresentation
bin100000001100111…
…101010110001000
31101122121110020200
4200030331112020
52101302033122
6125335452200
716250126052
oct4014752610
91348543220
10540267912
11257a70308
12130b27060
1387c13872
1451a788d2
153266e5ac
hex2033d588

540267912 has 96 divisors (see below), whose sum is σ = 1520040600. Its totient is φ = 173150208.

The previous prime is 540267899. The next prime is 540267913. The reversal of 540267912 is 219762045.

540267912 is a `hidden beast` number, since 540 + 26 + 7 + 91 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 533887236 + 6380676 = 23106^2 + 2526^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (540267913) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 736698 + ... + 737430.

Almost surely, 2540267912 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 540267912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760020300).

540267912 is an abundant number, since it is smaller than the sum of its proper divisors (979772688).

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

540267912 is a wasteful number, since it uses less digits than its factorization.

540267912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 540267912 is about 23243.6639108382. The cubic root of 540267912 is about 814.4599340190.

The spelling of 540267912 in words is "five hundred forty million, two hundred sixty-seven thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 353 522 696 706 733 1044 1059 1412 1466 2088 2118 2199 2824 2932 3177 4236 4398 5864 6354 6597 8472 8796 10237 12708 13194 17592 20474 21257 25416 26388 30711 40948 42514 52776 61422 63771 81896 85028 92133 122844 127542 170056 184266 191313 245688 255084 258749 368532 382626 510168 517498 737064 765252 776247 1034996 1530504 1552494 2069992 2328741 3104988 4657482 6209976 7503721 9314964 15007442 18629928 22511163 30014884 45022326 60029768 67533489 90044652 135066978 180089304 270133956 540267912