Search a number
-
+
808920 = 233357107
BaseRepresentation
bin11000101011111011000
31112002122000
43011133120
5201341140
625201000
76606240
oct3053730
91462560
10808920
11502832
12330160
13224268
14170b20
1510ea30
hexc57d8

808920 has 128 divisors (see below), whose sum is σ = 3110400. Its totient is φ = 183168.

The previous prime is 808919. The next prime is 808937. The reversal of 808920 is 29808.

It can be divided in two parts, 808 and 920, that added together give a cube (1728 = 123).

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

It is an Ulam number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 7507 + ... + 7613.

It is an arithmetic number, because the mean of its divisors is an integer number (24300).

2808920 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 808920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555200).

808920 is an abundant number, since it is smaller than the sum of its proper divisors (2301480).

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

808920 is a wasteful number, since it uses less digits than its factorization.

808920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 808920 is about 899.3997998666. The cubic root of 808920 is about 93.1755269850.

The spelling of 808920 in words is "eight hundred eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 107 108 120 126 135 140 168 180 189 210 214 216 252 270 280 315 321 360 378 420 428 504 535 540 630 642 749 756 840 856 945 963 1070 1080 1260 1284 1498 1512 1605 1890 1926 2140 2247 2520 2568 2889 2996 3210 3745 3780 3852 4280 4494 4815 5778 5992 6420 6741 7490 7560 7704 8988 9630 11235 11556 12840 13482 14445 14980 17976 19260 20223 22470 23112 26964 28890 29960 33705 38520 40446 44940 53928 57780 67410 80892 89880 101115 115560 134820 161784 202230 269640 404460 808920