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870325560 = 233451320663
BaseRepresentation
bin110011111000000…
…001110100111000
32020122200010020000
4303320001310320
53240300404220
6222210033000
730365434206
oct6370016470
92218603200
10870325560
11407304525
12203578760
1310b406950
1483834076
1551619390
hex33e01d38

870325560 has 160 divisors (see below), whose sum is σ = 3150433440. Its totient is φ = 214223616.

The previous prime is 870325553. The next prime is 870325567. The reversal of 870325560 is 65523078.

870325560 is a `hidden beast` number, since 8 + 70 + 3 + 25 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (870325553) and next prime (870325567).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (870325567) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31789 + ... + 52451.

It is an arithmetic number, because the mean of its divisors is an integer number (19690209).

Almost surely, 2870325560 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 870325560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575216720).

870325560 is an abundant number, since it is smaller than the sum of its proper divisors (2280107880).

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

870325560 is a wasteful number, since it uses less digits than its factorization.

870325560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20699 (or 20686 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 870325560 is about 29501.2806501684. The cubic root of 870325560 is about 954.7593337436.

The spelling of 870325560 in words is "eight hundred seventy million, three hundred twenty-five thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 81 90 104 108 117 120 130 135 156 162 180 195 216 234 260 270 312 324 351 360 390 405 468 520 540 585 648 702 780 810 936 1053 1080 1170 1404 1560 1620 1755 2106 2340 2808 3240 3510 4212 4680 5265 7020 8424 10530 14040 20663 21060 41326 42120 61989 82652 103315 123978 165304 185967 206630 247956 268619 309945 371934 413260 495912 537238 557901 619890 743868 805857 826520 929835 1074476 1115802 1239780 1343095 1487736 1611714 1673703 1859670 2148952 2231604 2417571 2479560 2686190 2789505 3223428 3347406 3719340 4029285 4463208 4835142 5372380 5579010 6446856 6694812 7252713 7438680 8058570 8368515 9670284 10744760 11158020 12087855 13389624 14505426 16117140 16737030 19340568 21758139 22316040 24175710 29010852 32234280 33474060 36263565 43516278 48351420 58021704 66948120 72527130 87032556 96702840 108790695 145054260 174065112 217581390 290108520 435162780 870325560