Search a number
-
+
860470272 = 21032731279
BaseRepresentation
bin110011010010011…
…011110000000000
32012222010102022100
4303102123300000
53230240022042
6221214510400
730215606454
oct6322336000
92188112270
10860470272
11401793062
12200205400
13109365c0c
14823ca664
155081e24c
hex3349bc00

860470272 has 132 divisors (see below), whose sum is σ = 2520593920. Its totient is φ = 282673152.

The previous prime is 860470217. The next prime is 860470327. The reversal of 860470272 is 272074068.

It is an interprime number because it is at equal distance from previous prime (860470217) and next prime (860470327).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 672129 + ... + 673407.

Almost surely, 2860470272 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 860470272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260296960).

860470272 is an abundant number, since it is smaller than the sum of its proper divisors (1660123648).

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

860470272 is a wasteful number, since it uses less digits than its factorization.

860470272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 860470272 is about 29333.7735724540. The cubic root of 860470272 is about 951.1418484323.

The spelling of 860470272 in words is "eight hundred sixty million, four hundred seventy thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 73 96 128 144 146 192 219 256 288 292 384 438 512 576 584 657 768 876 1024 1152 1168 1279 1314 1536 1752 2304 2336 2558 2628 3072 3504 3837 4608 4672 5116 5256 7008 7674 9216 9344 10232 10512 11511 14016 15348 18688 20464 21024 23022 28032 30696 37376 40928 42048 46044 56064 61392 74752 81856 84096 92088 93367 112128 122784 163712 168192 184176 186734 224256 245568 280101 327424 336384 368352 373468 491136 560202 654848 672768 736704 746936 840303 982272 1120404 1309696 1473408 1493872 1680606 1964544 2240808 2946816 2987744 3361212 3929088 4481616 5893632 5975488 6722424 8963232 11787264 11950976 13444848 17926464 23901952 26889696 35852928 47803904 53779392 71705856 95607808 107558784 143411712 215117568 286823424 430235136 860470272