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2380680 = 2332517389
BaseRepresentation
bin1001000101001110001000
311110221200100
421011032020
51102140210
6123005400
726143521
oct11051610
94427610
102380680
111386705
12969860
136547b3
1445d848
153205c0
hex245388

2380680 has 96 divisors (see below), whose sum is σ = 8213400. Its totient is φ = 595968.

The previous prime is 2380673. The next prime is 2380717. The reversal of 2380680 is 860832.

2380680 = T75 + T76 + ... + T244.

It can be written as a sum of positive squares in 4 ways, for example, as 1920996 + 459684 = 1386^2 + 678^2 .

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, 5926 + ... + 6314.

22380680 is an apocalyptic number.

2380680 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 2380680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4106700).

2380680 is an abundant number, since it is smaller than the sum of its proper divisors (5832720).

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

2380680 is a wasteful number, since it uses less digits than its factorization.

2380680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2380680 is about 1542.9452355803. The cubic root of 2380680 is about 133.5263593113.

The spelling of 2380680 in words is "two million, three hundred eighty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 389 408 510 612 680 765 778 1020 1167 1224 1530 1556 1945 2040 2334 3060 3112 3501 3890 4668 5835 6120 6613 7002 7780 9336 11670 13226 14004 15560 17505 19839 23340 26452 28008 33065 35010 39678 46680 52904 59517 66130 70020 79356 99195 119034 132260 140040 158712 198390 238068 264520 297585 396780 476136 595170 793560 1190340 2380680