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896940 = 2233511151
BaseRepresentation
bin11011010111110101100
31200120101000
43122332230
5212200230
631120300
710423662
oct3327654
91616330
10896940
11562980
12373090
13255345
14194c32
1512ab60
hexdafac

896940 has 96 divisors (see below), whose sum is σ = 3064320. Its totient is φ = 216000.

The previous prime is 896927. The next prime is 896947. The reversal of 896940 is 49698.

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

It is a junction number, because it is equal to n+sod(n) for n = 896895 and 896904.

It is not an unprimeable number, because it can be changed into a prime (896947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5865 + ... + 6015.

It is an arithmetic number, because the mean of its divisors is an integer number (31920).

2896940 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 896940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532160).

896940 is an abundant number, since it is smaller than the sum of its proper divisors (2167380).

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

896940 is a wasteful number, since it uses less digits than its factorization.

896940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 896940 is about 947.0691632611. The cubic root of 896940 is about 96.4393920838.

It can be divided in two parts, 8969 and 40, that added together give a palindrome (9009).

The spelling of 896940 in words is "eight hundred ninety-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 151 165 180 198 220 270 297 302 330 396 453 495 540 594 604 660 755 906 990 1188 1359 1485 1510 1661 1812 1980 2265 2718 2970 3020 3322 4077 4530 4983 5436 5940 6644 6795 8154 8305 9060 9966 13590 14949 16308 16610 19932 20385 24915 27180 29898 33220 40770 44847 49830 59796 74745 81540 89694 99660 149490 179388 224235 298980 448470 896940