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5279120 = 245711857
BaseRepresentation
bin10100001000110110010000
3100221012120222
4110020312100
52322412440
6305052212
762605010
oct24106620
910835528
105279120
112a86310
121927068
13112ab52
149b5c40
156e42b5
hex508d90

5279120 has 80 divisors (see below), whose sum is σ = 15320448. Its totient is φ = 1643520.

The previous prime is 5279117. The next prime is 5279149. The reversal of 5279120 is 219725.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5279120.

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, 5732 + ... + 6588.

Almost surely, 25279120 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 5279120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7660224).

5279120 is an abundant number, since it is smaller than the sum of its proper divisors (10041328).

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

5279120 is a wasteful number, since it uses less digits than its factorization.

5279120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 5279120 is about 2297.6335652144. The cubic root of 5279120 is about 174.1220792997.

The spelling of 5279120 in words is "five million, two hundred seventy-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 857 880 1232 1540 1714 3080 3428 4285 5999 6160 6856 8570 9427 11998 13712 17140 18854 23996 29995 34280 37708 47135 47992 59990 65989 68560 75416 94270 95984 119980 131978 150832 188540 239960 263956 329945 377080 479920 527912 659890 754160 1055824 1319780 2639560 5279120