Search a number
-
+
4084680 = 233534039
BaseRepresentation
bin1111100101001111001000
321200112010110
433211033020
52021202210
6223314320
746501455
oct17451710
97615113
104084680
11233a976
12144b9a0
13b00292
1478482c
1555a420
hex3e53c8

4084680 has 32 divisors (see below), whose sum is σ = 12254400. Its totient is φ = 1089216.

The previous prime is 4084667. The next prime is 4084687. The reversal of 4084680 is 864804.

It is a super-2 number, since 2×40846802 = 33369221404800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4084687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16900 + ... + 17139.

It is an arithmetic number, because the mean of its divisors is an integer number (382950).

Almost surely, 24084680 is an apocalyptic number.

4084680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4084680 is an abundant number, since it is smaller than the sum of its proper divisors (8169720).

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

4084680 is a wasteful number, since it uses less digits than its factorization.

4084680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34053 (or 34049 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 4084680 is about 2021.0591282790. The cubic root of 4084680 is about 159.8524681732.

The spelling of 4084680 in words is "four million, eighty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 34039 68078 102117 136156 170195 204234 272312 340390 408468 510585 680780 816936 1021170 1361560 2042340 4084680