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5641280 = 26517261
BaseRepresentation
bin10101100001010001000000
3101121121101022
4111201101000
52421010110
6320525012
765643611
oct25412100
911547338
105641280
113203417
121a80768
131226948
14a6bc08
15766755
hex561440

5641280 has 84 divisors (see below), whose sum is σ = 14503908. Its totient is φ = 2088960.

The previous prime is 5641277. The next prime is 5641291. The reversal of 5641280 is 821465.

It can be written as a sum of positive squares in 6 ways, for example, as 33856 + 5607424 = 184^2 + 2368^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92450 + ... + 92510.

Almost surely, 25641280 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 5641280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7251954).

5641280 is an abundant number, since it is smaller than the sum of its proper divisors (8862628).

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

5641280 is a wasteful number, since it uses less digits than its factorization.

5641280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 5641280 is about 2375.1378907339. The cubic root of 5641280 is about 178.0160739598.

The spelling of 5641280 in words is "five million, six hundred forty-one thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 61 64 68 80 85 122 136 160 170 244 272 289 305 320 340 488 544 578 610 680 976 1037 1088 1156 1220 1360 1445 1952 2074 2312 2440 2720 2890 3904 4148 4624 4880 5185 5440 5780 8296 9248 9760 10370 11560 16592 17629 18496 19520 20740 23120 33184 35258 41480 46240 66368 70516 82960 88145 92480 141032 165920 176290 282064 331840 352580 564128 705160 1128256 1410320 2820640 5641280