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5614080 = 29351743
BaseRepresentation
bin10101011010101000000000
3101120020001220
4111122220000
52414122310
6320155040
765501403
oct25325000
911506056
105614080
113194a3a
121a68a80
131217454
14a61d3a
1575d670
hex55aa00

5614080 has 160 divisors (see below), whose sum is σ = 19445184. Its totient is φ = 1376256.

The previous prime is 5614079. The next prime is 5614087. The reversal of 5614080 is 804165.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 4 and base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 5614080.

It is not an unprimeable number, because it can be changed into a prime (5614087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130539 + ... + 130581.

Almost surely, 25614080 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 5614080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9722592).

5614080 is an abundant number, since it is smaller than the sum of its proper divisors (13831104).

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

5614080 is a wasteful number, since it uses less digits than its factorization.

5614080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 5614080 is about 2369.4049885995. The cubic root of 5614080 is about 177.7295054122.

The spelling of 5614080 in words is "five million, six hundred fourteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 43 48 51 60 64 68 80 85 86 96 102 120 128 129 136 160 170 172 192 204 215 240 255 256 258 272 320 340 344 384 408 430 480 510 512 516 544 640 645 680 688 731 768 816 860 960 1020 1032 1088 1280 1290 1360 1376 1462 1536 1632 1720 1920 2040 2064 2176 2193 2560 2580 2720 2752 2924 3264 3440 3655 3840 4080 4128 4352 4386 5160 5440 5504 5848 6528 6880 7310 7680 8160 8256 8704 8772 10320 10880 10965 11008 11696 13056 13760 14620 16320 16512 17544 20640 21760 21930 22016 23392 26112 27520 29240 32640 33024 35088 41280 43520 43860 46784 55040 58480 65280 66048 70176 82560 87720 93568 110080 116960 130560 140352 165120 175440 187136 233920 280704 330240 350880 374272 467840 561408 701760 935680 1122816 1403520 1871360 2807040 5614080