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2280520 = 235117173
BaseRepresentation
bin1000101100110001001000
311021212021201
420230301020
51040434040
6120513544
725245514
oct10546110
94255251
102280520
111318430
1291b8b4
1361b028
14435144
15300a9a
hex22cc48

2280520 has 64 divisors (see below), whose sum is σ = 5754240. Its totient is φ = 806400.

The previous prime is 2280517. The next prime is 2280521. The reversal of 2280520 is 250822.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2280521) 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, 31204 + ... + 31276.

It is an arithmetic number, because the mean of its divisors is an integer number (89910).

22280520 is an apocalyptic number.

2280520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2280520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2877120).

2280520 is an abundant number, since it is smaller than the sum of its proper divisors (3473720).

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

2280520 is a wasteful number, since it uses less digits than its factorization.

2280520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 2280520 is about 1510.1390664439. The cubic root of 2280520 is about 131.6268925064.

The spelling of 2280520 in words is "two million, two hundred eighty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 71 73 88 110 142 146 220 284 292 355 365 440 568 584 710 730 781 803 1420 1460 1562 1606 2840 2920 3124 3212 3905 4015 5183 6248 6424 7810 8030 10366 15620 16060 20732 25915 31240 32120 41464 51830 57013 103660 114026 207320 228052 285065 456104 570130 1140260 2280520