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3879680 = 2857433
BaseRepresentation
bin1110110011001100000000
321022002220212
432303030000
51443122210
6215053252
744656010
oct16631400
97262825
103879680
11220a952
121371228
13a5ab8c
1472dc40
15519805
hex3b3300

3879680 has 72 divisors (see below), whose sum is σ = 10645152. Its totient is φ = 1327104.

The previous prime is 3879679. The next prime is 3879691. The reversal of 3879680 is 869783.

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, 8744 + ... + 9176.

Almost surely, 23879680 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 3879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5322576).

3879680 is an abundant number, since it is smaller than the sum of its proper divisors (6765472).

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

3879680 is an equidigital number, since it uses as much as digits as its factorization.

3879680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 3879680 is about 1969.6903309911. The cubic root of 3879680 is about 157.1322401328.

The spelling of 3879680 in words is "three million, eight hundred seventy-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 433 448 560 640 866 896 1120 1280 1732 1792 2165 2240 3031 3464 4330 4480 6062 6928 8660 8960 12124 13856 15155 17320 24248 27712 30310 34640 48496 55424 60620 69280 96992 110848 121240 138560 193984 242480 277120 387968 484960 554240 775936 969920 1939840 3879680