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5678680 = 2357171193
BaseRepresentation
bin10101101010011001011000
3101200111200111
4111222121120
52423204210
6321414104
766160630
oct25523130
911614614
105678680
113229527
121a9a334
13123a987
14a7b6c0
1577288a
hex56a658

5678680 has 64 divisors (see below), whose sum is σ = 15474240. Its totient is φ = 1830912.

The previous prime is 5678669. The next prime is 5678713. The reversal of 5678680 is 868765.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4164 + ... + 5356.

It is an arithmetic number, because the mean of its divisors is an integer number (241785).

Almost surely, 25678680 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 5678680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7737120).

5678680 is an abundant number, since it is smaller than the sum of its proper divisors (9795560).

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

5678680 is a wasteful number, since it uses less digits than its factorization.

5678680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 5678680 is about 2382.9981116233. The cubic root of 5678680 is about 178.4086055626.

The spelling of 5678680 in words is "five million, six hundred seventy-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 680 952 1190 1193 2380 2386 4760 4772 5965 8351 9544 11930 16702 20281 23860 33404 40562 41755 47720 66808 81124 83510 101405 141967 162248 167020 202810 283934 334040 405620 567868 709835 811240 1135736 1419670 2839340 5678680