Search a number
-
+
696369960 = 233651113167
BaseRepresentation
bin101001100000011…
…100001100101000
31210112100021000000
4221200130030220
52411232314320
6153033343000
723154022056
oct5140341450
91715307000
10696369960
113280a0070
12175267a60
13b136b040
14686b11d6
1541206c90
hex2981c328

696369960 has 448 divisors, whose sum is σ = 2776394880. Its totient is φ = 154897920.

The previous prime is 696369959. The next prime is 696369977. The reversal of 696369960 is 69963696.

It is a super-2 number, since 2×6963699602 = 969862242380803200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 696369897 and 696369906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4169797 + ... + 4169963.

It is an arithmetic number, because the mean of its divisors is an integer number (6197310).

Almost surely, 2696369960 is an apocalyptic number.

696369960 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 696369960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388197440).

696369960 is an abundant number, since it is smaller than the sum of its proper divisors (2080024920).

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

696369960 is a wasteful number, since it uses less digits than its factorization.

696369960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 2834352, while the sum is 54.

The square root of 696369960 is about 26388.8226338350. The cubic root of 696369960 is about 886.3665185920.

The spelling of 696369960 in words is "six hundred ninety-six million, three hundred sixty-nine thousand, nine hundred sixty".