Search a number
-
+
540523890 = 232516735963
BaseRepresentation
bin100000001101111…
…011110101110010
31101200002110101100
4200031323311302
52101333231030
6125345145230
716252243254
oct4015736562
91350073340
10540523890
11258125665
1213102b216
1387ca322a
1451b03cd4
15326c0360
hex2037bd72

540523890 has 48 divisors (see below), whose sum is σ = 1413816768. Its totient is φ = 143272608.

The previous prime is 540523877. The next prime is 540523931. The reversal of 540523890 is 98325045.

540523890 is a `hidden beast` number, since 5 + 40 + 523 + 8 + 90 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2952 + ... + 33011.

It is an arithmetic number, because the mean of its divisors is an integer number (29454516).

Almost surely, 2540523890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540523890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706908384).

540523890 is an abundant number, since it is smaller than the sum of its proper divisors (873292878).

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

540523890 is a wasteful number, since it uses less digits than its factorization.

540523890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36143 (or 36140 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 540523890 is about 23249.1696625923. The cubic root of 540523890 is about 814.5885436110.

The spelling of 540523890 in words is "five hundred forty million, five hundred twenty-three thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 167 334 501 835 1002 1503 1670 2505 3006 5010 7515 15030 35963 71926 107889 179815 215778 323667 359630 539445 647334 1078890 1618335 3236670 6005821 12011642 18017463 30029105 36034926 54052389 60058210 90087315 108104778 180174630 270261945 540523890