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540207440 = 245231372143
BaseRepresentation
bin100000001100101…
…110100101010000
31101122111101021222
4200030232211100
52101243114230
6125334304212
716246454543
oct4014564520
91348441258
10540207440
11257a29933
12130ab8068
1387bc2196
1451a6085a
153265b6e5
hex2032e950

540207440 has 80 divisors (see below), whose sum is σ = 1320772608. Its totient is φ = 205083648.

The previous prime is 540207439. The next prime is 540207517. The reversal of 540207440 is 44702045.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251009 + ... + 253151.

Almost surely, 2540207440 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 540207440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660386304).

540207440 is an abundant number, since it is smaller than the sum of its proper divisors (780565168).

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

540207440 is a wasteful number, since it uses less digits than its factorization.

540207440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2316 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 26.

The square root of 540207440 is about 23242.3630468160. The cubic root of 540207440 is about 814.4295454792.

Adding to 540207440 its reverse (44702045), we get a palindrome (584909485).

The spelling of 540207440 in words is "five hundred forty million, two hundred seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 137 184 230 274 368 460 548 685 920 1096 1370 1840 2143 2192 2740 3151 4286 5480 6302 8572 10715 10960 12604 15755 17144 21430 25208 31510 34288 42860 49289 50416 63020 85720 98578 126040 171440 197156 246445 252080 293591 394312 492890 587182 788624 985780 1174364 1467955 1971560 2348728 2935910 3943120 4697456 5871820 6752593 11743640 13505186 23487280 27010372 33762965 54020744 67525930 108041488 135051860 270103720 540207440