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970080000 = 283544347
BaseRepresentation
bin111001110100100…
…011111100000000
32111121101011120220
4321310203330000
53441320030000
6240132103040
733016354401
oct7164437400
92447334526
10970080000
1145864850a
12230a64a80
13125c92746
1492b9d9a8
155a2711a0
hex39d23f00

970080000 has 360 divisors, whose sum is σ = 3371520768. Its totient is φ = 247296000.

The previous prime is 970079989. The next prime is 970080019. The reversal of 970080000 is 80079.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20639977 + ... + 20640023.

Almost surely, 2970080000 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 970080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685760384).

970080000 is an abundant number, since it is smaller than the sum of its proper divisors (2401440768).

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

970080000 is an equidigital number, since it uses as much as digits as its factorization.

970080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 970080000 is about 31146.1073009132. The cubic root of 970080000 is about 989.9255122000.

The spelling of 970080000 in words is "nine hundred seventy million, eighty thousand".