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998496720 = 2437513439
BaseRepresentation
bin111011100000111…
…101100111010000
32120120211220000000
4323200331213100
54021103343340
6243025130000
733513040104
oct7340754720
92516756000
10998496720
11472697401
1223a489900
1312bb31b80
1496879904
155c9d5d30
hex3b83d9d0

998496720 has 320 divisors, whose sum is σ = 3758092800. Its totient is φ = 245223936.

The previous prime is 998496713. The next prime is 998496727. The reversal of 998496720 is 27694899.

It is an interprime number because it is at equal distance from previous prime (998496713) and next prime (998496727).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (998496727) 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, 2274261 + ... + 2274699.

It is an arithmetic number, because the mean of its divisors is an integer number (11744040).

Almost surely, 2998496720 is an apocalyptic number.

998496720 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 998496720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1879046400).

998496720 is an abundant number, since it is smaller than the sum of its proper divisors (2759596080).

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

998496720 is a wasteful number, since it uses less digits than its factorization.

998496720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 462 counting only the distinct ones).

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

The square root of 998496720 is about 31598.9987183138. The cubic root of 998496720 is about 999.4986553622.

The spelling of 998496720 in words is "nine hundred ninety-eight million, four hundred ninety-six thousand, seven hundred twenty".