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540892240 = 24572833413
BaseRepresentation
bin100000001111010…
…101110001010000
31101200210011122221
4200033111301100
52101432022430
6125401110424
716255336210
oct4017256120
91350704587
10540892240
11258357389
12131188414
13880a1aa5
1451b9c240
153274457a
hex203d5c50

540892240 has 80 divisors (see below), whose sum is σ = 1442729088. Its totient is φ = 184739328.

The previous prime is 540892211. The next prime is 540892279. The reversal of 540892240 is 42298045.

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

It is a junction number, because it is equal to n+sod(n) for n = 540892196 and 540892205.

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, 156774 + ... + 160186.

Almost surely, 2540892240 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 540892240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721364544).

540892240 is an abundant number, since it is smaller than the sum of its proper divisors (901836848).

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

540892240 is a wasteful number, since it uses less digits than its factorization.

540892240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3716 (or 3710 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 540892240 is about 23257.0901017303. The cubic root of 540892240 is about 814.7735404029.

The spelling of 540892240 in words is "five hundred forty million, eight hundred ninety-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 283 560 566 1132 1415 1981 2264 2830 3413 3962 4528 5660 6826 7924 9905 11320 13652 15848 17065 19810 22640 23891 27304 31696 34130 39620 47782 54608 68260 79240 95564 119455 136520 158480 191128 238910 273040 382256 477820 955640 965879 1911280 1931758 3863516 4829395 6761153 7727032 9658790 13522306 15454064 19317580 27044612 33805765 38635160 54089224 67611530 77270320 108178448 135223060 270446120 540892240