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869040 = 243251771
BaseRepresentation
bin11010100001010110000
31122011002200
43110022300
5210302130
630343200
710246434
oct3241260
91564080
10869040
11543a17
1235ab00
13245733
141889c4
15122760
hexd42b0

869040 has 120 divisors (see below), whose sum is σ = 3133728. Its totient is φ = 215040.

The previous prime is 869039. The next prime is 869053. The reversal of 869040 is 40968.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 868995 and 869013.

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, 12205 + ... + 12275.

2869040 is an apocalyptic number.

869040 is a gapful number since it is divisible by the number (80) 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 869040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566864).

869040 is an abundant number, since it is smaller than the sum of its proper divisors (2264688).

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

869040 is a wasteful number, since it uses less digits than its factorization.

869040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 869040 is about 932.2231492513. The cubic root of 869040 is about 95.4289009651.

The spelling of 869040 in words is "eight hundred sixty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 71 72 80 85 90 102 120 136 142 144 153 170 180 204 213 240 255 272 284 306 340 355 360 408 426 510 568 612 639 680 710 720 765 816 852 1020 1065 1136 1207 1224 1278 1360 1420 1530 1704 2040 2130 2414 2448 2556 2840 3060 3195 3408 3621 4080 4260 4828 5112 5680 6035 6120 6390 7242 8520 9656 10224 10863 12070 12240 12780 14484 17040 18105 19312 21726 24140 25560 28968 36210 43452 48280 51120 54315 57936 72420 86904 96560 108630 144840 173808 217260 289680 434520 869040