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896742 = 232711647
BaseRepresentation
bin11011010111011100110
31200120002200
43122323212
5212143432
631115330
710423260
oct3327346
91616080
10896742
11562810
12372b46
13255222
14194b30
1512aa7c
hexdaee6

896742 has 48 divisors (see below), whose sum is σ = 2426112. Its totient is φ = 232560.

The previous prime is 896723. The next prime is 896771. The reversal of 896742 is 247698.

It is a super-3 number, since 3×8967423 = 2163335054221651464, which contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 896697 and 896706.

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 896742.

It is an unprimeable number.

896742 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 23 ways as a sum of consecutive naturals, for example, 1063 + ... + 1709.

It is an arithmetic number, because the mean of its divisors is an integer number (50544).

2896742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 896742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213056).

896742 is an abundant number, since it is smaller than the sum of its proper divisors (1529370).

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

896742 is a wasteful number, since it uses less digits than its factorization.

896742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 670 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 896742 is about 946.9646244713. The cubic root of 896742 is about 96.4322952119.

It can be divided in two parts, 89674 and 2, that added together give a triangular number (89676 = T423).

The spelling of 896742 in words is "eight hundred ninety-six thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 647 693 1294 1386 1941 3882 4529 5823 7117 9058 11646 13587 14234 21351 27174 40761 42702 49819 64053 81522 99638 128106 149457 298914 448371 896742