Search a number
-
+
860928 = 2831959
BaseRepresentation
bin11010010001100000000
31121201222020
43102030000
5210022203
630241440
710213665
oct3221400
91551866
10860928
11538912
12356280
13241b33
14185a6c
15120153
hexd2300

860928 has 72 divisors (see below), whose sum is σ = 2452800. Its totient is φ = 267264.

The previous prime is 860927. The next prime is 860929. The reversal of 860928 is 829068.

It is an interprime number because it is at equal distance from previous prime (860927) and next prime (860929).

It is not an unprimeable number, because it can be changed into a prime (860921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14563 + ... + 14621.

2860928 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 860928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226400).

860928 is an abundant number, since it is smaller than the sum of its proper divisors (1591872).

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

860928 is a wasteful number, since it uses less digits than its factorization.

860928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 860928 is about 927.8620587135. The cubic root of 860928 is about 95.1310472147.

The spelling of 860928 in words is "eight hundred sixty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 59 64 76 96 114 118 128 152 177 192 228 236 256 304 354 384 456 472 608 708 768 912 944 1121 1216 1416 1824 1888 2242 2432 2832 3363 3648 3776 4484 4864 5664 6726 7296 7552 8968 11328 13452 14592 15104 17936 22656 26904 35872 45312 53808 71744 107616 143488 215232 286976 430464 860928