Search a number
-
+
7084044 = 2233116789
BaseRepresentation
bin11011000001100000001100
3111022220111000
4123001200030
53303142134
6411500300
7114133122
oct33014014
914286430
107084044
113aa9390
122457690
131610556
14d25912
1594de99
hex6c180c

7084044 has 96 divisors (see below), whose sum is σ = 20563200. Its totient is φ = 2090880.

The previous prime is 7084043. The next prime is 7084061. The reversal of 7084044 is 4404807.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 7083999 and 7084017.

It is not an unprimeable number, because it can be changed into a prime (7084043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79552 + ... + 79640.

It is an arithmetic number, because the mean of its divisors is an integer number (214200).

Almost surely, 27084044 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 7084044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10281600).

7084044 is an abundant number, since it is smaller than the sum of its proper divisors (13479156).

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

7084044 is a wasteful number, since it uses less digits than its factorization.

7084044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 7084044 is about 2661.5867447821. The cubic root of 7084044 is about 192.0556479323.

The spelling of 7084044 in words is "seven million, eighty-four thousand, forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 67 89 99 108 132 134 178 198 201 267 268 297 356 396 402 534 594 603 737 801 804 979 1068 1188 1206 1474 1602 1809 1958 2211 2403 2412 2937 2948 3204 3618 3916 4422 4806 5874 5963 6633 7236 8811 8844 9612 11748 11926 13266 17622 17889 19899 23852 26433 26532 35244 35778 39798 52866 53667 65593 71556 79596 105732 107334 131186 161001 196779 214668 262372 322002 393558 590337 644004 787116 1180674 1771011 2361348 3542022 7084044