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4678680 = 2335127307
BaseRepresentation
bin10001110110010000011000
322210200221110
4101312100120
52144204210
6244140320
754524316
oct21662030
98720843
104678680
112706186
1216976a0
13c7a766
1489b0b6
15626420
hex476418

4678680 has 64 divisors (see below), whose sum is σ = 14192640. Its totient is φ = 1233792.

The previous prime is 4678679. The next prime is 4678703. The reversal of 4678680 is 868764.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15087 + ... + 15393.

It is an arithmetic number, because the mean of its divisors is an integer number (221760).

Almost surely, 24678680 is an apocalyptic number.

4678680 is a gapful number since it is divisible by the number (40) 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 4678680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7096320).

4678680 is an abundant number, since it is smaller than the sum of its proper divisors (9513960).

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

4678680 is a wasteful number, since it uses less digits than its factorization.

4678680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 4678680 is about 2163.0256586550. The cubic root of 4678680 is about 167.2532045297.

The spelling of 4678680 in words is "four million, six hundred seventy-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 127 254 307 381 508 614 635 762 921 1016 1228 1270 1524 1535 1842 1905 2456 2540 3048 3070 3684 3810 4605 5080 6140 7368 7620 9210 12280 15240 18420 36840 38989 77978 116967 155956 194945 233934 311912 389890 467868 584835 779780 935736 1169670 1559560 2339340 4678680