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3880680 = 233573443
BaseRepresentation
bin1110110011011011101000
321022011021220
432303123220
51443140210
6215102040
744661636
oct16633350
97264256
103880680
112210681
121371920
13a5b47b
14730356
15519c70
hex3b36e8

3880680 has 64 divisors (see below), whose sum is σ = 11828160. Its totient is φ = 1018368.

The previous prime is 3880663. The next prime is 3880729. The reversal of 3880680 is 860883.

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8539 + ... + 8981.

It is an arithmetic number, because the mean of its divisors is an integer number (184815).

Almost surely, 23880680 is an apocalyptic number.

3880680 is a gapful number since it is divisible by the number (30) 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 3880680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5914080).

3880680 is an abundant number, since it is smaller than the sum of its proper divisors (7947480).

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

3880680 is a wasteful number, since it uses less digits than its factorization.

3880680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 3880680 is about 1969.9441616452. The cubic root of 3880680 is about 157.1457394198.

It can be divided in two parts, 3880 and 680, that added together give a triangular number (4560 = T95).

The spelling of 3880680 in words is "three million, eight hundred eighty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 443 584 730 876 886 1095 1329 1460 1752 1772 2190 2215 2658 2920 3544 4380 4430 5316 6645 8760 8860 10632 13290 17720 26580 32339 53160 64678 97017 129356 161695 194034 258712 323390 388068 485085 646780 776136 970170 1293560 1940340 3880680