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540030040 = 235119712653
BaseRepresentation
bin100000001100000…
…011010001011000
31101122011100221121
4200030003101120
52101221430130
6125330415024
716245115414
oct4014032130
91348140847
10540030040
11257918620
12130a31474
1387b5c504
1451a15d44
1532623d7a
hex20303458

540030040 has 64 divisors (see below), whose sum is σ = 1339299360. Its totient is φ = 194334720.

The previous prime is 540029977. The next prime is 540030061. The reversal of 540030040 is 40030045.

540030040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 540029996 and 540030023.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36354 + ... + 49006.

Almost surely, 2540030040 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 540030040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669649680).

540030040 is an abundant number, since it is smaller than the sum of its proper divisors (799269320).

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

540030040 is a wasteful number, since it uses less digits than its factorization.

540030040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12772 (or 12768 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 540030040 is about 23238.5464261429. The cubic root of 540030040 is about 814.3403849031.

Adding to 540030040 its reverse (40030045), we get a palindrome (580060085).

The spelling of 540030040 in words is "five hundred forty million, thirty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 97 110 194 220 388 440 485 776 970 1067 1940 2134 3880 4268 5335 8536 10670 12653 21340 25306 42680 50612 63265 101224 126530 139183 253060 278366 506120 556732 695915 1113464 1227341 1391830 2454682 2783660 4909364 5567320 6136705 9818728 12273410 13500751 24546820 27001502 49093640 54003004 67503755 108006008 135007510 270015020 540030040