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3839680 = 26513271
BaseRepresentation
bin1110101001011011000000
321020002001101
432221123000
51440332210
6214144144
744431255
oct16513300
97202041
103839680
112192899
121352054
13a45900
1471d42c
1550ca3a
hex3a96c0

3839680 has 84 divisors (see below), whose sum is σ = 10040112. Its totient is φ = 1397760.

The previous prime is 3839677. The next prime is 3839681. The reversal of 3839680 is 869383.

It is a happy number.

3839680 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3839681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54045 + ... + 54115.

Almost surely, 23839680 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 3839680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5020056).

3839680 is an abundant number, since it is smaller than the sum of its proper divisors (6200432).

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

3839680 is a wasteful number, since it uses less digits than its factorization.

3839680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 3839680 is about 1959.5101428673. The cubic root of 3839680 is about 156.5903556730.

The spelling of 3839680 in words is "three million, eight hundred thirty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 71 80 104 130 142 160 169 208 260 284 320 338 355 416 520 568 676 710 832 845 923 1040 1136 1352 1420 1690 1846 2080 2272 2704 2840 3380 3692 4160 4544 4615 5408 5680 6760 7384 9230 10816 11360 11999 13520 14768 18460 22720 23998 27040 29536 36920 47996 54080 59072 59995 73840 95992 119990 147680 191984 239980 295360 383968 479960 767936 959920 1919840 3839680