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540432240 = 24353736037
BaseRepresentation
bin100000001101100…
…101011101110000
31101122220210122220
4200031211131300
52101322312430
6125343201040
716251412125
oct4015453560
91348823586
10540432240
11258072817
12130ba6180
1387c705ba
1451abc74c
15326a3110
hex20365770

540432240 has 80 divisors (see below), whose sum is σ = 1680109728. Its totient is φ = 143705088.

The previous prime is 540432239. The next prime is 540432241. The reversal of 540432240 is 42234045.

It is an interprime number because it is at equal distance from previous prime (540432239) and next prime (540432241).

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 540432240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540432241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86502 + ... + 92538.

Almost surely, 2540432240 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 540432240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840054864).

540432240 is an abundant number, since it is smaller than the sum of its proper divisors (1139677488).

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

540432240 is a wasteful number, since it uses less digits than its factorization.

540432240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6426 (or 6420 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 540432240 is about 23247.1985408995. The cubic root of 540432240 is about 814.5425010824.

Adding to 540432240 its reverse (42234045), we get a palindrome (582666285).

The spelling of 540432240 in words is "five hundred forty million, four hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 373 746 1119 1492 1865 2238 2984 3730 4476 5595 5968 6037 7460 8952 11190 12074 14920 17904 18111 22380 24148 29840 30185 36222 44760 48296 60370 72444 89520 90555 96592 120740 144888 181110 241480 289776 362220 482960 724440 1448880 2251801 4503602 6755403 9007204 11259005 13510806 18014408 22518010 27021612 33777015 36028816 45036020 54043224 67554030 90072040 108086448 135108060 180144080 270216120 540432240