Search a number
-
+
869940 = 22355179
BaseRepresentation
bin11010100011000110100
31122012100000
43110120310
5210314230
630351300
710252161
oct3243064
91565300
10869940
11544665
1235b530
13245c76
14189068
15122b60
hexd4634

869940 has 72 divisors (see below), whose sum is σ = 2751840. Its totient is φ = 230688.

The previous prime is 869927. The next prime is 869951. The reversal of 869940 is 49968.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 869895 and 869904.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 869940.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4771 + ... + 4949.

It is an arithmetic number, because the mean of its divisors is an integer number (38220).

2869940 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 869940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375920).

869940 is an abundant number, since it is smaller than the sum of its proper divisors (1881900).

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

869940 is a wasteful number, since it uses less digits than its factorization.

869940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 869940 is about 932.7057413783. The cubic root of 869940 is about 95.4618324678.

The spelling of 869940 in words is "eight hundred sixty-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 179 180 243 270 324 358 405 486 537 540 716 810 895 972 1074 1215 1611 1620 1790 2148 2430 2685 3222 3580 4833 4860 5370 6444 8055 9666 10740 14499 16110 19332 24165 28998 32220 43497 48330 57996 72495 86994 96660 144990 173988 217485 289980 434970 869940