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2008380 = 22351117179
BaseRepresentation
bin111101010010100111100
310210000222110
413222110330
51003232010
6111014020
723033223
oct7522474
93700873
102008380
111151a20
1280a310
135541ba
143a3cba
1529a120
hex1ea53c

2008380 has 96 divisors (see below), whose sum is σ = 6531840. Its totient is φ = 455680.

The previous prime is 2008379. The next prime is 2008393. The reversal of 2008380 is 838002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11131 + ... + 11309.

It is an arithmetic number, because the mean of its divisors is an integer number (68040).

22008380 is an apocalyptic number.

2008380 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 2008380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265920).

2008380 is an abundant number, since it is smaller than the sum of its proper divisors (4523460).

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

2008380 is a wasteful number, since it uses less digits than its factorization.

2008380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2008380 is about 1417.1732427618. The cubic root of 2008380 is about 126.1678287633.

The spelling of 2008380 in words is "two million, eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 132 165 170 179 187 204 220 255 330 340 358 374 510 537 561 660 716 748 895 935 1020 1074 1122 1790 1870 1969 2148 2244 2685 2805 3043 3580 3740 3938 5370 5610 5907 6086 7876 9129 9845 10740 11220 11814 12172 15215 18258 19690 23628 29535 30430 33473 36516 39380 45645 59070 60860 66946 91290 100419 118140 133892 167365 182580 200838 334730 401676 502095 669460 1004190 2008380