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4678080 = 263511443
BaseRepresentation
bin10001110110000111000000
322210200010020
4101312013000
52144144310
6244133440
754522501
oct21660700
98720106
104678080
112705790
121697280
13c7a3c4
1489aba8
15626170
hex4761c0

4678080 has 112 divisors (see below), whose sum is σ = 16239744. Its totient is φ = 1131520.

The previous prime is 4678073. The next prime is 4678103. The reversal of 4678080 is 808764.

It is a Smith number, since the sum of its digits (33) 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 (33).

It is an Ulam number.

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, 10339 + ... + 10781.

Almost surely, 24678080 is an apocalyptic number.

4678080 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 4678080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8119872).

4678080 is an abundant number, since it is smaller than the sum of its proper divisors (11561664).

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

4678080 is a wasteful number, since it uses less digits than its factorization.

4678080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 4678080 is about 2162.8869595982. The cubic root of 4678080 is about 167.2460546347.

The spelling of 4678080 in words is "four million, six hundred seventy-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 443 480 528 660 704 880 886 960 1056 1320 1329 1760 1772 2112 2215 2640 2658 3520 3544 4430 4873 5280 5316 6645 7088 8860 9746 10560 10632 13290 14176 14619 17720 19492 21264 24365 26580 28352 29238 35440 38984 42528 48730 53160 58476 70880 73095 77968 85056 97460 106320 116952 141760 146190 155936 194920 212640 233904 292380 311872 389840 425280 467808 584760 779680 935616 1169520 1559360 2339040 4678080