Search a number
-
+
969661368 = 233513173761
BaseRepresentation
bin111001110010111…
…101101110111000
32111120120220100000
4321302331232320
53441213130433
6240115113000
733012662034
oct7162755670
92446526300
10969661368
11458391a35
122308a2760
13125b77030
1492ad11c4
155a1dc113
hex39cbdbb8

969661368 has 384 divisors, whose sum is σ = 3241667520. Its totient is φ = 268738560.

The previous prime is 969661339. The next prime is 969661379. The reversal of 969661368 is 863166969.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15896058 + ... + 15896118.

Almost surely, 2969661368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 969661368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620833760).

969661368 is an abundant number, since it is smaller than the sum of its proper divisors (2272006152).

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

969661368 is a wasteful number, since it uses less digits than its factorization.

969661368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 133 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The square root of 969661368 is about 31139.3861211168. The cubic root of 969661368 is about 989.7830929754.

The spelling of 969661368 in words is "nine hundred sixty-nine million, six hundred sixty-one thousand, three hundred sixty-eight".