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540240435 = 345733889
BaseRepresentation
bin100000001100110…
…110101000110011
31101122120001120000
4200030312220303
52101300143220
6125335121043
716246653000
oct4014665063
91348501500
10540240435
11257a516a9
12130b13183
1387c041c7
1451a6c8a7
1532666390
hex20336a33

540240435 has 80 divisors (see below), whose sum is σ = 1129656000. Its totient is φ = 246903552.

The previous prime is 540240409. The next prime is 540240439. The reversal of 540240435 is 534042045.

It is not a de Polignac number, because 540240435 - 28 = 540240179 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 540240399 and 540240408.

It is a congruent number.

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 (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 136971 + ... + 140859.

It is an arithmetic number, because the mean of its divisors is an integer number (14120700).

Almost surely, 2540240435 is an apocalyptic number.

540240435 is an abundant number, since it is smaller than the sum of its proper divisors (589415565).

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

540240435 is an equidigital number, since it uses as much as digits as its factorization.

540240435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3927 (or 3904 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 540240435 is about 23243.0728390202. The cubic root of 540240435 is about 814.4461264897.

The spelling of 540240435 in words is "five hundred forty million, two hundred forty thousand, four hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 81 105 135 147 189 245 315 343 405 441 567 735 945 1029 1323 1715 2205 2835 3087 3889 3969 5145 6615 9261 11667 15435 19445 19845 27223 27783 35001 46305 58335 81669 105003 136115 138915 175005 190561 245007 315009 408345 525015 571683 735021 952805 1225035 1333927 1575045 1715049 2205063 2858415 3675105 4001781 5145147 6669635 8575245 11025315 12005343 15435441 20008905 25725735 36016029 60026715 77177205 108048087 180080145 540240435