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997350120 = 2332513497
BaseRepresentation
bin111011011100100…
…101101011101000
32120111200122011100
4323130211223220
54020310200440
6242544401400
733500223204
oct7334455350
92514618140
10997350120
11471a839a8
1223a016260
1312b820000
149665bb04
155c85b230
hex3b725ae8

997350120 has 240 divisors, whose sum is σ = 3547695060. Its totient is φ = 242970624.

The previous prime is 997350113. The next prime is 997350139. The reversal of 997350120 is 21053799.

It can be written as a sum of positive squares in 10 ways, for example, as 590198436 + 407151684 = 24294^2 + 20178^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1261 × 845 × 936.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10281912 + ... + 10282008.

Almost surely, 2997350120 is an apocalyptic number.

997350120 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 997350120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773847530).

997350120 is an abundant number, since it is smaller than the sum of its proper divisors (2550344940).

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

997350120 is a wasteful number, since it uses less digits than its factorization.

997350120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 997350120 is about 31580.8505268620. The cubic root of 997350120 is about 999.1159253089.

The spelling of 997350120 in words is "nine hundred ninety-seven million, three hundred fifty thousand, one hundred twenty".