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997601280 = 21235131249
BaseRepresentation
bin111011011101100…
…011000000000000
32120112011101200120
4323131203000000
54020341220110
6242554020240
733502320354
oct7335430000
92515141616
10997601280
11472135675
1223a117680
1312b8aa420
14966c5464
155c8aa870
hex3b763000

997601280 has 208 divisors, whose sum is σ = 3440220000. Its totient is φ = 245366784.

The previous prime is 997601279. The next prime is 997601291. The reversal of 997601280 is 82106799.

It is a tau number, because it is divible by the number of its divisors (208).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 798096 + ... + 799344.

Almost surely, 2997601280 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 997601280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720110000).

997601280 is an abundant number, since it is smaller than the sum of its proper divisors (2442618720).

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

997601280 is a wasteful number, since it uses less digits than its factorization.

997601280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 997601280 is about 31584.8267369001. The cubic root of 997601280 is about 999.1997864958.

The spelling of 997601280 in words is "nine hundred ninety-seven million, six hundred one thousand, two hundred eighty".