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6533040 = 2435163167
BaseRepresentation
bin11000111010111110110000
3110021220122110
4120322332300
53133024130
6352005320
7106346523
oct30727660
913256573
106533040
113762408
122230840
131479807
14c20bba
15890ab0
hex63afb0

6533040 has 80 divisors (see below), whose sum is σ = 20498688. Its totient is φ = 1721088.

The previous prime is 6533029. The next prime is 6533057. The reversal of 6533040 is 403356.

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

It is a super-2 number, since 2×65330402 = 85361223283200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6532998 and 6533016.

It is an unprimeable number.

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, 39037 + ... + 39203.

Almost surely, 26533040 is an apocalyptic number.

6533040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6533040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10249344).

6533040 is an abundant number, since it is smaller than the sum of its proper divisors (13965648).

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

6533040 is a wasteful number, since it uses less digits than its factorization.

6533040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 6533040 is about 2555.9812205883. The cubic root of 6533040 is about 186.9412342631.

Adding to 6533040 its reverse (403356), we get a palindrome (6936396).

The spelling of 6533040 in words is "six million, five hundred thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 163 167 240 326 334 489 501 652 668 815 835 978 1002 1304 1336 1630 1670 1956 2004 2445 2505 2608 2672 3260 3340 3912 4008 4890 5010 6520 6680 7824 8016 9780 10020 13040 13360 19560 20040 27221 39120 40080 54442 81663 108884 136105 163326 217768 272210 326652 408315 435536 544420 653304 816630 1088840 1306608 1633260 2177680 3266520 6533040