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969696000 = 28325371337
BaseRepresentation
bin111001110011000…
…110001100000000
32111120122122211200
4321303012030000
53441220233000
6240115541200
733013165020
oct7163061400
92446578750
10969696000
11458405a59
122308ba800
13125b89a20
1492adda80
155a1e7500
hex39cc6300

969696000 has 864 divisors, whose sum is σ = 4410526848. Its totient is φ = 199065600.

The previous prime is 969695983. The next prime is 969696017. The reversal of 969696000 is 696969.

It is an interprime number because it is at equal distance from previous prime (969695983) and next prime (969696017).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26207982 + ... + 26208018.

Almost surely, 2969696000 is an apocalyptic number.

969696000 is a gapful number since it is divisible by the number (90) 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 969696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2205263424).

969696000 is an abundant number, since it is smaller than the sum of its proper divisors (3440830848).

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

969696000 is a wasteful number, since it uses less digits than its factorization.

969696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 969696000 is about 31139.9421964781. The cubic root of 969696000 is about 989.7948763881.

The spelling of 969696000 in words is "nine hundred sixty-nine million, six hundred ninety-six thousand".