Base | Representation |
---|---|
bin | 10101010001010000000 |
3 | 1022102001100 |
4 | 2222022000 |
5 | 134300320 |
6 | 22534400 |
7 | 5631645 |
oct | 2521200 |
9 | 1272040 |
10 | 696960 |
11 | 436700 |
12 | 297400 |
13 | 1b5304 |
14 | 141dcc |
15 | db790 |
hex | aa280 |
696960 has 144 divisors (see below), whose sum is σ = 2645370. Its totient is φ = 168960.
The previous prime is 696937. The next prime is 696961. The reversal of 696960 is 69696.
696960 = T53 + T54 + ... + T162.
It can be written as a sum of positive squares in only one way, i.e., 627264 + 69696 = 792^2 + 264^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 696960.
It is not an unprimeable number, because it can be changed into a prime (696961) by changing a digit.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 63355 + ... + 63365.
2696960 is an apocalyptic number.
696960 is a gapful number since it is divisible by the number (60) 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 696960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322685).
696960 is an abundant number, since it is smaller than the sum of its proper divisors (1948410).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
696960 is a wasteful number, since it uses less digits than its factorization.
696960 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 47 (or 21 counting only the distinct ones).
The product of its (nonzero) digits is 17496, while the sum is 36.
The square root of 696960 is about 834.8413022845. The cubic root of 696960 is about 88.6616789802.
Subtracting from 696960 its reverse (69696), we obtain a square (627264 = 7922).
The spelling of 696960 in words is "six hundred ninety-six thousand, nine hundred sixty".
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