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893196 = 223243577
BaseRepresentation
bin11011010000100001100
31200101020100
43122010030
5212040241
631051100
710410033
oct3320414
91611210
10893196
11560087
12370a90
13253725
1419371a
151299b6
hexda10c

893196 has 36 divisors (see below), whose sum is σ = 2314312. Its totient is φ = 290304.

The previous prime is 893183. The next prime is 893213. The reversal of 893196 is 691398.

893196 = T3 + T4 + ... + T174.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 893196.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1260 + ... + 1836.

2893196 is an apocalyptic number.

893196 is a gapful number since it is divisible by the number (86) 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 893196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157156).

893196 is an abundant number, since it is smaller than the sum of its proper divisors (1421116).

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

893196 is a wasteful number, since it uses less digits than its factorization.

893196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 625 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 893196 is about 945.0904718597. The cubic root of 893196 is about 96.3050194231.

It can be divided in two parts, 893 and 196, that added together give a square (1089 = 332).

The spelling of 893196 in words is "eight hundred ninety-three thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 577 774 1154 1548 1731 2308 3462 5193 6924 10386 20772 24811 49622 74433 99244 148866 223299 297732 446598 893196