Search a number
-
+
969808896 = 2103375011
BaseRepresentation
bin111001110011100…
…001110000000000
32111120212101201000
4321303201300000
53441232341041
6240122212000
733014145120
oct7163416000
92446771630
10969808896
11458482861
12230954000
13125bc9224
1492b2cc80
155a21abb6
hex39ce1c00

969808896 has 176 divisors, whose sum is σ = 3283060480. Its totient is φ = 277032960.

The previous prime is 969808871. The next prime is 969808897. The reversal of 969808896 is 698808969.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (969808897) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191031 + ... + 196041.

Almost surely, 2969808896 is an apocalyptic number.

969808896 is a gapful number since it is divisible by the number (96) 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 969808896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641530240).

969808896 is an abundant number, since it is smaller than the sum of its proper divisors (2313251584).

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

969808896 is a wasteful number, since it uses less digits than its factorization.

969808896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5047 (or 5023 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The square root of 969808896 is about 31141.7548638480. The cubic root of 969808896 is about 989.8332868954.

The spelling of 969808896 in words is "nine hundred sixty-nine million, eight hundred eight thousand, eight hundred ninety-six".