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997389120 = 26357313233
BaseRepresentation
bin111011011100101…
…111001101000000
32120111202121122210
4323130233031000
54020312422440
6242545302120
733500445000
oct7334571500
92514677583
10997389120
11472000232
1223a034940
1312b8349a0
149666c000
155c867a80
hex3b72f340

997389120 has 448 divisors, whose sum is σ = 3994099200. Its totient is φ = 209534976.

The previous prime is 997389103. The next prime is 997389121. The reversal of 997389120 is 21983799.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 997389120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997389121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4280524 + ... + 4280756.

It is an arithmetic number, because the mean of its divisors is an integer number (8915400).

Almost surely, 2997389120 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 997389120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997049600).

997389120 is an abundant number, since it is smaller than the sum of its proper divisors (2996710080).

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

997389120 is a wasteful number, since it uses less digits than its factorization.

997389120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 48.

The square root of 997389120 is about 31581.4679836134. The cubic root of 997389120 is about 999.1289481556.

The spelling of 997389120 in words is "nine hundred ninety-seven million, three hundred eighty-nine thousand, one hundred twenty".