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540112240 = 245192912253
BaseRepresentation
bin100000001100010…
…111010101110000
31101122022112201001
4200030113111300
52101232042430
6125332251344
716245610153
oct4014272560
91348275631
10540112240
11257974358
12130a70b54
1387b8aa55
1451a37c9a
153263d3ca
hex20317570

540112240 has 80 divisors (see below), whose sum is σ = 1367546400. Its totient is φ = 197600256.

The previous prime is 540112217. The next prime is 540112247. The reversal of 540112240 is 42211045.

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

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540112247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37954 + ... + 50206.

It is an arithmetic number, because the mean of its divisors is an integer number (17094330).

Almost surely, 2540112240 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 540112240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683773200).

540112240 is an abundant number, since it is smaller than the sum of its proper divisors (827434160).

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

540112240 is a wasteful number, since it uses less digits than its factorization.

540112240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12314 (or 12308 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 540112240 is about 23240.3149720480. The cubic root of 540112240 is about 814.3817007428.

Adding to 540112240 its reverse (42211045), we get a palindrome (582323285).

The spelling of 540112240 in words is "five hundred forty million, one hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 29 38 40 58 76 80 95 116 145 152 190 232 290 304 380 464 551 580 760 1102 1160 1520 2204 2320 2755 4408 5510 8816 11020 12253 22040 24506 44080 49012 61265 98024 122530 196048 232807 245060 355337 465614 490120 710674 931228 980240 1164035 1421348 1776685 1862456 2328070 2842696 3553370 3724912 4656140 5685392 6751403 7106740 9312280 13502806 14213480 18624560 27005612 28426960 33757015 54011224 67514030 108022448 135028060 270056120 540112240