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540240432 = 243107293359
BaseRepresentation
bin100000001100110…
…110101000110000
31101122120001112220
4200030312220300
52101300143212
6125335121040
716246652664
oct4014665060
91348501486
10540240432
11257a516a6
12130b13180
1387c041c4
1451a6c8a4
153266638c
hex20336a30

540240432 has 80 divisors (see below), whose sum is σ = 1417409280. Its totient is φ = 177293056.

The previous prime is 540240409. The next prime is 540240439. The reversal of 540240432 is 234042045.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (540240439) by changing a digit.

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, 1504669 + ... + 1505027.

It is an arithmetic number, because the mean of its divisors is an integer number (17717616).

Almost surely, 2540240432 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 540240432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708704640).

540240432 is an abundant number, since it is smaller than the sum of its proper divisors (877168848).

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

540240432 is a wasteful number, since it uses less digits than its factorization.

540240432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 764 counting only the distinct ones).

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

The square root of 540240432 is about 23243.0727744849. The cubic root of 540240432 is about 814.4461249822.

Adding to 540240432 its reverse (234042045), we get a palindrome (774282477).

The spelling of 540240432 in words is "five hundred forty million, two hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 107 214 293 321 359 428 586 642 718 856 879 1077 1172 1284 1436 1712 1758 2154 2344 2568 2872 3516 4308 4688 5136 5744 7032 8616 14064 17232 31351 38413 62702 76826 94053 105187 115239 125404 153652 188106 210374 230478 250808 307304 315561 376212 420748 460956 501616 614608 631122 752424 841496 921912 1262244 1504848 1682992 1843824 2524488 5048976 11255009 22510018 33765027 45020036 67530054 90040072 135060108 180080144 270120216 540240432