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5206960 = 245116197
BaseRepresentation
bin10011110111001110110000
3100210112121101
4103313032300
52313110320
6303334144
762154433
oct23671660
910715541
105206960
112a37080
1218b1354
131104055
1499781a
156ccc0a
hex4f73b0

5206960 has 80 divisors (see below), whose sum is σ = 13561632. Its totient is φ = 1843200.

The previous prime is 5206939. The next prime is 5206963. The reversal of 5206960 is 696025.

5206960 = T24 + T25 + ... + T314.

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

It is a super-2 number, since 2×52069602 = 54224864883200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5206963) 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 15 ways as a sum of consecutive naturals, for example, 53632 + ... + 53728.

Almost surely, 25206960 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 5206960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6780816).

5206960 is an abundant number, since it is smaller than the sum of its proper divisors (8354672).

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

5206960 is a wasteful number, since it uses less digits than its factorization.

5206960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 5206960 is about 2281.8764208432. The cubic root of 5206960 is about 173.3250817900.

The spelling of 5206960 in words is "five million, two hundred six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 61 80 88 97 110 122 176 194 220 244 305 388 440 485 488 610 671 776 880 970 976 1067 1220 1342 1552 1940 2134 2440 2684 3355 3880 4268 4880 5335 5368 5917 6710 7760 8536 10670 10736 11834 13420 17072 21340 23668 26840 29585 42680 47336 53680 59170 65087 85360 94672 118340 130174 236680 260348 325435 473360 520696 650870 1041392 1301740 2603480 5206960