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2678040 = 2332543173
BaseRepresentation
bin1010001101110100011000
312001001120200
422031310120
51141144130
6133222200
731522461
oct12156430
95031520
102678040
11156a062
12a91960
13729c51
144d9d68
1537d760
hex28dd18

2678040 has 96 divisors (see below), whose sum is σ = 8957520. Its totient is φ = 693504.

The previous prime is 2678017. The next prime is 2678041. The reversal of 2678040 is 408762.

2678040 = 1422 + 1432 + ... + 2212.

It is a junction number, because it is equal to n+sod(n) for n = 2677995 and 2678013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2678041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15394 + ... + 15566.

22678040 is an apocalyptic number.

2678040 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 2678040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4478760).

2678040 is an abundant number, since it is smaller than the sum of its proper divisors (6279480).

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

2678040 is a wasteful number, since it uses less digits than its factorization.

2678040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2678040 is about 1636.4718146060. The cubic root of 2678040 is about 138.8691209792.

The spelling of 2678040 in words is "two million, six hundred seventy-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 43 45 60 72 86 90 120 129 172 173 180 215 258 344 346 360 387 430 516 519 645 692 774 860 865 1032 1038 1290 1384 1548 1557 1720 1730 1935 2076 2580 2595 3096 3114 3460 3870 4152 5160 5190 6228 6920 7439 7740 7785 10380 12456 14878 15480 15570 20760 22317 29756 31140 37195 44634 59512 62280 66951 74390 89268 111585 133902 148780 178536 223170 267804 297560 334755 446340 535608 669510 892680 1339020 2678040