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5945280 = 263511563
BaseRepresentation
bin10110101011011111000000
3102012001101120
4112223133000
53010222110
6331232240
7101351115
oct26533700
912161346
105945280
1133a0860
121ba8680
131302123
14b0a90c
157c6870
hex5ab7c0

5945280 has 112 divisors (see below), whose sum is σ = 20628864. Its totient is φ = 1438720.

The previous prime is 5945279. The next prime is 5945281. The reversal of 5945280 is 825495.

5945280 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5945279) and next prime (5945281).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5945281) 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, 10279 + ... + 10841.

Almost surely, 25945280 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 5945280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10314432).

5945280 is an abundant number, since it is smaller than the sum of its proper divisors (14683584).

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

5945280 is a wasteful number, since it uses less digits than its factorization.

5945280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 5945280 is about 2438.2944859061. The cubic root of 5945280 is about 181.1579667522.

The spelling of 5945280 in words is "five million, nine hundred forty-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 563 660 704 880 960 1056 1126 1320 1689 1760 2112 2252 2640 2815 3378 3520 4504 5280 5630 6193 6756 8445 9008 10560 11260 12386 13512 16890 18016 18579 22520 24772 27024 30965 33780 36032 37158 45040 49544 54048 61930 67560 74316 90080 92895 99088 108096 123860 135120 148632 180160 185790 198176 247720 270240 297264 371580 396352 495440 540480 594528 743160 990880 1189056 1486320 1981760 2972640 5945280