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2080624 = 247131429
BaseRepresentation
bin111111011111101110000
310220201002011
413323331300
51013034444
6112332304
723453650
oct7737560
93821064
102080624
1111a1227
12844094
1357b050
143c2360
152b1734
hex1fbf70

2080624 has 40 divisors (see below), whose sum is σ = 4964960. Its totient is φ = 822528.

The previous prime is 2080609. The next prime is 2080651. The reversal of 2080624 is 4260802.

2080624 is a modest number, since divided by 624 gives 208 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 2080595 and 2080604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 742 + ... + 2170.

It is an arithmetic number, because the mean of its divisors is an integer number (124124).

22080624 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 2080624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2482480).

2080624 is an abundant number, since it is smaller than the sum of its proper divisors (2884336).

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

2080624 is a wasteful number, since it uses less digits than its factorization.

2080624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 2080624 is about 1442.4368270396. The cubic root of 2080624 is about 127.6628497095.

It can be divided in two parts, 2080 and 624, that added together give a square (2704 = 522).

The spelling of 2080624 in words is "two million, eighty thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1429 1456 2858 5716 10003 11432 18577 20006 22864 37154 40012 74308 80024 130039 148616 160048 260078 297232 520156 1040312 2080624