Search a number
-
+
7056840 = 2335731271
BaseRepresentation
bin11010111010110111001000
3111021112011110
4122322313020
53301304330
6411130320
7113660610
oct32726710
914245143
107056840
113a8a9aa
1224439a0
13160105b
14d19a40
15945db0
hex6badc8

7056840 has 128 divisors (see below), whose sum is σ = 25067520. Its totient is φ = 1555200.

The previous prime is 7056827. The next prime is 7056851. The reversal of 7056840 is 486507.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 7056798 and 7056807.

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 25905 + ... + 26175.

It is an arithmetic number, because the mean of its divisors is an integer number (195840).

Almost surely, 27056840 is an apocalyptic number.

7056840 is a gapful number since it is divisible by the number (70) 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 7056840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12533760).

7056840 is an abundant number, since it is smaller than the sum of its proper divisors (18010680).

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

7056840 is a wasteful number, since it uses less digits than its factorization.

7056840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 7056840 is about 2656.4713437190. The cubic root of 7056840 is about 191.8094898501.

The spelling of 7056840 in words is "seven million, fifty-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 31 35 40 42 56 60 62 70 84 93 105 120 124 140 155 168 186 210 217 248 271 280 310 372 420 434 465 542 620 651 744 813 840 868 930 1084 1085 1240 1302 1355 1626 1736 1860 1897 2168 2170 2604 2710 3252 3255 3720 3794 4065 4340 5208 5420 5691 6504 6510 7588 8130 8401 8680 9485 10840 11382 13020 15176 16260 16802 18970 22764 25203 26040 28455 32520 33604 37940 42005 45528 50406 56910 58807 67208 75880 84010 100812 113820 117614 126015 168020 176421 201624 227640 235228 252030 294035 336040 352842 470456 504060 588070 705684 882105 1008120 1176140 1411368 1764210 2352280 3528420 7056840