Search a number
-
+
695316960 = 25345134127
BaseRepresentation
bin101001011100011…
…011000111100000
31210110100202120000
4221130123013200
52411000120320
6152555020000
723142045102
oct5134330740
91713322500
10695316960
11327540a18
12174a3a600
13b108c970
14684b9572
1541099c90
hex2971b1e0

695316960 has 240 divisors, whose sum is σ = 2643290496. Its totient is φ = 171113472.

The previous prime is 695316943. The next prime is 695316961. The reversal of 695316960 is 69613596.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (695316961) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 166417 + ... + 170543.

Almost surely, 2695316960 is an apocalyptic number.

695316960 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 695316960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321645248).

695316960 is an abundant number, since it is smaller than the sum of its proper divisors (1947973536).

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

695316960 is a wasteful number, since it uses less digits than its factorization.

695316960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4167 (or 4150 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 695316960 is about 26368.8634567362. The cubic root of 695316960 is about 885.9195268883.

The spelling of 695316960 in words is "six hundred ninety-five million, three hundred sixteen thousand, nine hundred sixty".