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2080584 = 2332113771
BaseRepresentation
bin111111011111101001000
310220201000200
413323331020
51013034314
6112332200
723453562
oct7737510
93821020
102080584
1111a11a0
12844060
1357b01c
143c2332
152b1709
hex1fbf48

2080584 has 96 divisors (see below), whose sum is σ = 6402240. Its totient is φ = 604800.

The previous prime is 2080577. The next prime is 2080591. The reversal of 2080584 is 4850802.

2080584 is a `hidden beast` number, since 2 + 0 + 80 + 584 = 666.

It is an interprime number because it is at equal distance from previous prime (2080577) and next prime (2080591).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29269 + ... + 29339.

It is an arithmetic number, because the mean of its divisors is an integer number (66690).

22080584 is an apocalyptic number.

2080584 is a gapful number since it is divisible by the number (24) 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 2080584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3201120).

2080584 is an abundant number, since it is smaller than the sum of its proper divisors (4321656).

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

2080584 is a wasteful number, since it uses less digits than its factorization.

2080584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2080584 is about 1442.4229615477. The cubic root of 2080584 is about 127.6620315981.

The spelling of 2080584 in words is "two million, eighty thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 37 44 66 71 72 74 88 99 111 132 142 148 198 213 222 264 284 296 333 396 407 426 444 568 639 666 781 792 814 852 888 1221 1278 1332 1562 1628 1704 2343 2442 2556 2627 2664 3124 3256 3663 4686 4884 5112 5254 6248 7029 7326 7881 9372 9768 10508 14058 14652 15762 18744 21016 23643 28116 28897 29304 31524 47286 56232 57794 63048 86691 94572 115588 173382 189144 231176 260073 346764 520146 693528 1040292 2080584