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4676320 = 255112657
BaseRepresentation
bin10001110101101011100000
322210120201001
4101311223200
52144120240
6244121344
754514405
oct21655340
98716631
104676320
112704430
121696254
13c7966c
1489a2ac
1562589a
hex475ae0

4676320 has 48 divisors (see below), whose sum is σ = 12056688. Its totient is φ = 1699840.

The previous prime is 4676317. The next prime is 4676323. The reversal of 4676320 is 236764.

It is an interprime number because it is at equal distance from previous prime (4676317) and next prime (4676323).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4676323) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 432 + ... + 3088.

It is an arithmetic number, because the mean of its divisors is an integer number (251181).

Almost surely, 24676320 is an apocalyptic number.

4676320 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 4676320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6028344).

4676320 is an abundant number, since it is smaller than the sum of its proper divisors (7380368).

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

4676320 is a wasteful number, since it uses less digits than its factorization.

4676320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2683 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 4676320 is about 2162.4800577115. The cubic root of 4676320 is about 167.2250780818.

The spelling of 4676320 in words is "four million, six hundred seventy-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 2657 5314 10628 13285 21256 26570 29227 42512 53140 58454 85024 106280 116908 146135 212560 233816 292270 425120 467632 584540 935264 1169080 2338160 4676320