Search a number
-
+
997698240 = 263257112409
BaseRepresentation
bin111011011101111…
…010101011000000
32120112100022200200
4323131322223000
54020402320430
6243000045200
733503203140
oct7335725300
92515308620
10997698240
114721a1500
1223a163800
1312b9125b6
149670c920
155c8c9460
hex3b77aac0

997698240 has 504 divisors, whose sum is σ = 4321393440. Its totient is φ = 206807040.

The previous prime is 997698211. The next prime is 997698257. The reversal of 997698240 is 42896799.

It is a tau number, because it is divible by the number of its divisors (504).

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 71 ways as a sum of consecutive naturals, for example, 2439156 + ... + 2439564.

Almost surely, 2997698240 is an apocalyptic number.

997698240 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 997698240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2160696720).

997698240 is an abundant number, since it is smaller than the sum of its proper divisors (3323695200).

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

997698240 is a wasteful number, since it uses less digits than its factorization.

997698240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 997698240 is about 31586.3616138358. The cubic root of 997698240 is about 999.2321572351.

The spelling of 997698240 in words is "nine hundred ninety-seven million, six hundred ninety-eight thousand, two hundred forty".