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864156 = 2232331101
BaseRepresentation
bin11010010111110011100
31121220101210
43102332130
5210123111
630304420
710226256
oct3227634
91556353
10864156
11540287
12358110
13243447
14186cd6
151210a6
hexd2f9c

864156 has 48 divisors (see below), whose sum is σ = 2193408. Its totient is φ = 264000.

The previous prime is 864151. The next prime is 864167. The reversal of 864156 is 651468.

864156 = T135 + T136 + ... + T196.

Its product of digits (5760) is a multiple of the sum of its prime divisors (160).

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 864156.

It is not an unprimeable number, because it can be changed into a prime (864151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8506 + ... + 8606.

It is an arithmetic number, because the mean of its divisors is an integer number (45696).

2864156 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 864156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096704).

864156 is an abundant number, since it is smaller than the sum of its proper divisors (1329252).

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

864156 is a wasteful number, since it uses less digits than its factorization.

864156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 160 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 864156 is about 929.5999139415. The cubic root of 864156 is about 95.2497950547.

The spelling of 864156 in words is "eight hundred sixty-four thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 12 23 31 46 62 69 92 93 101 124 138 186 202 276 303 372 404 606 713 1212 1426 2139 2323 2852 3131 4278 4646 6262 6969 8556 9292 9393 12524 13938 18786 27876 37572 72013 144026 216039 288052 432078 864156