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4371680 = 25589307
BaseRepresentation
bin10000101011010011100000
322020002211002
4100223103200
52104343210
6233411132
752105265
oct20532340
98202732
104371680
112516565
121569aa8
13ba0ac1
1481b26c
155b54a5
hex42b4e0

4371680 has 48 divisors (see below), whose sum is σ = 10478160. Its totient is φ = 1723392.

The previous prime is 4371677. The next prime is 4371701. The reversal of 4371680 is 861734.

4371680 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×43716802 = 38223172044800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14087 + ... + 14393.

It is an arithmetic number, because the mean of its divisors is an integer number (218295).

Almost surely, 24371680 is an apocalyptic number.

4371680 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 4371680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5239080).

4371680 is an abundant number, since it is smaller than the sum of its proper divisors (6106480).

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

4371680 is a wasteful number, since it uses less digits than its factorization.

4371680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 4371680 is about 2090.8562839181. The cubic root of 4371680 is about 163.5119338395.

The spelling of 4371680 in words is "four million, three hundred seventy-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 89 160 178 307 356 445 614 712 890 1228 1424 1535 1780 2456 2848 3070 3560 4912 6140 7120 9824 12280 14240 24560 27323 49120 54646 109292 136615 218584 273230 437168 546460 874336 1092920 2185840 4371680