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5240960 = 27519431
BaseRepresentation
bin10011111111100010000000
3100212021020122
4103333202000
52320202320
6304155412
762355524
oct23774200
910767218
105240960
112a5a67a
121908b68
13111667a
149a5d84
156d7d25
hex4ff880

5240960 has 64 divisors (see below), whose sum is σ = 13219200. Its totient is φ = 1981440.

The previous prime is 5240959. The next prime is 5240993. The reversal of 5240960 is 690425.

It is a tau number, because it is divible by the number of its divisors (64).

It is a plaindrome in base 13.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 11945 + ... + 12375.

It is an arithmetic number, because the mean of its divisors is an integer number (206550).

Almost surely, 25240960 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 5240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6609600).

5240960 is an abundant number, since it is smaller than the sum of its proper divisors (7978240).

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

5240960 is a wasteful number, since it uses less digits than its factorization.

5240960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 5240960 is about 2289.3143078223. The cubic root of 5240960 is about 173.7015184852.

The spelling of 5240960 in words is "five million, two hundred forty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 304 320 380 431 608 640 760 862 1216 1520 1724 2155 2432 3040 3448 4310 6080 6896 8189 8620 12160 13792 16378 17240 27584 32756 34480 40945 55168 65512 68960 81890 131024 137920 163780 262048 275840 327560 524096 655120 1048192 1310240 2620480 5240960