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2532280 = 235293759
BaseRepresentation
bin1001101010001110111000
311202122122011
421222032320
51122013110
6130135304
730344512
oct11521670
94678564
102532280
11147a5a3
12a21534
136a87ba
1449cbb2
1535048a
hex26a3b8

2532280 has 64 divisors (see below), whose sum is σ = 6156000. Its totient is φ = 935424.

The previous prime is 2532259. The next prime is 2532281. The reversal of 2532280 is 822352.

2532280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2532281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42891 + ... + 42949.

22532280 is an apocalyptic number.

2532280 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 2532280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3078000).

2532280 is an abundant number, since it is smaller than the sum of its proper divisors (3623720).

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

2532280 is a wasteful number, since it uses less digits than its factorization.

2532280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 2532280 is about 1591.3139225181. The cubic root of 2532280 is about 136.3025272318.

The spelling of 2532280 in words is "two million, five hundred thirty-two thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 20 29 37 40 58 59 74 116 118 145 148 185 232 236 290 295 296 370 472 580 590 740 1073 1160 1180 1480 1711 2146 2183 2360 3422 4292 4366 5365 6844 8555 8584 8732 10730 10915 13688 17110 17464 21460 21830 34220 42920 43660 63307 68440 87320 126614 253228 316535 506456 633070 1266140 2532280