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860006364 = 223743457521
BaseRepresentation
bin110011010000101…
…010011111011100
32012221020211221120
4303100222133130
53230130200424
6221200530540
730211635120
oct6320523734
92187224846
10860006364
114014a6568
12200020a50
13109232a09
1482309580
155077ba79
hex3342a7dc

860006364 has 96 divisors (see below), whose sum is σ = 2356333056. Its totient is φ = 239016960.

The previous prime is 860006327. The next prime is 860006369. The reversal of 860006364 is 463600068.

It is a super-2 number, since 2×8600063642 = 1479221892241000992, which contains 22 as substring.

860006364 is a modest number, since divided by 6364 gives 860 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (860006369) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1650424 + ... + 1650944.

It is an arithmetic number, because the mean of its divisors is an integer number (24545136).

Almost surely, 2860006364 is an apocalyptic number.

860006364 is a gapful number since it is divisible by the number (84) 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 860006364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178166528).

860006364 is an abundant number, since it is smaller than the sum of its proper divisors (1496326692).

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

860006364 is a wasteful number, since it uses less digits than its factorization.

860006364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 860006364 is about 29325.8651023290. The cubic root of 860006364 is about 950.9708870224.

The spelling of 860006364 in words is "eight hundred sixty million, six thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 129 172 258 301 457 516 521 602 903 914 1042 1204 1371 1563 1806 1828 2084 2742 3126 3199 3612 3647 5484 6252 6398 7294 9597 10941 12796 14588 19194 19651 21882 22403 38388 39302 43764 44806 58953 67209 78604 89612 117906 134418 137557 156821 235812 238097 268836 275114 313642 412671 470463 476194 550228 627284 714291 825342 940926 952388 1428582 1650684 1666679 1881852 2857164 3333358 5000037 6666716 10000074 10238171 20000148 20476342 30714513 40952684 61429026 71667197 122858052 143334394 215001591 286668788 430003182 860006364