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6870920 = 235753463
BaseRepresentation
bin11010001101011110001000
3110221002010112
4122031132020
53224332140
6403133452
7112254560
oct32153610
913832115
106870920
113973251
122374288
131567544
14cabda0
1590ac65
hex68d788

6870920 has 64 divisors (see below), whose sum is σ = 18040320. Its totient is φ = 2306304.

The previous prime is 6870911. The next prime is 6870931. The reversal of 6870920 is 290786.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14609 + ... + 15071.

It is an arithmetic number, because the mean of its divisors is an integer number (281880).

Almost surely, 26870920 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 6870920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9020160).

6870920 is an abundant number, since it is smaller than the sum of its proper divisors (11169400).

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

6870920 is a wasteful number, since it uses less digits than its factorization.

6870920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 6870920 is about 2621.2439794876. The cubic root of 6870920 is about 190.1100009377.

The spelling of 6870920 in words is "six million, eight hundred seventy thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 53 56 70 106 140 212 265 280 371 424 463 530 742 926 1060 1484 1852 1855 2120 2315 2968 3241 3704 3710 4630 6482 7420 9260 12964 14840 16205 18520 24539 25928 32410 49078 64820 98156 122695 129640 171773 196312 245390 343546 490780 687092 858865 981560 1374184 1717730 3435460 6870920