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5079760 = 245747193
BaseRepresentation
bin10011011000001011010000
3100120002010021
4103120023100
52300023020
6300513224
761114540
oct23301320
910502107
105079760
11295a554
12184b814
13108b19a
14963320
156a51aa
hex4d82d0

5079760 has 80 divisors (see below), whose sum is σ = 13856256. Its totient is φ = 1695744.

The previous prime is 5079751. The next prime is 5079773. The reversal of 5079760 is 679705.

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

It is a nialpdrome in base 14.

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, 26224 + ... + 26416.

Almost surely, 25079760 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 5079760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6928128).

5079760 is an abundant number, since it is smaller than the sum of its proper divisors (8776496).

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

5079760 is a wasteful number, since it uses less digits than its factorization.

5079760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 34.

The square root of 5079760 is about 2253.8322918975. The cubic root of 5079760 is about 171.9020534825.

The spelling of 5079760 in words is "five million, seventy-nine thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 47 56 70 80 94 112 140 188 193 235 280 329 376 386 470 560 658 752 772 940 965 1316 1351 1544 1645 1880 1930 2632 2702 3088 3290 3760 3860 5264 5404 6580 6755 7720 9071 10808 13160 13510 15440 18142 21616 26320 27020 36284 45355 54040 63497 72568 90710 108080 126994 145136 181420 253988 317485 362840 507976 634970 725680 1015952 1269940 2539880 5079760