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1997097984 = 21033717607
BaseRepresentation
bin111011100001001…
…0100110000000000
312011011220002102000
41313002110300000
513042224113414
6530100424000
7100330024050
oct16702246000
95134802360
101997097984
11935345302
124789a8000
1325a99c4ab
1414d341560
15ba4dcb09
hex77094c00

1997097984 has 352 divisors, whose sum is σ = 7168757760. Its totient is φ = 536150016.

The previous prime is 1997097937. The next prime is 1997098031. The reversal of 1997097984 is 4897907991.

It is an interprime number because it is at equal distance from previous prime (1997097937) and next prime (1997098031).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3289809 + ... + 3290415.

Almost surely, 21997097984 is an apocalyptic number.

1997097984 is a gapful number since it is divisible by the number (14) 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 1997097984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3584378880).

1997097984 is an abundant number, since it is smaller than the sum of its proper divisors (5171659776).

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

1997097984 is a wasteful number, since it uses less digits than its factorization.

1997097984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 10287648, while the sum is 63.

The square root of 1997097984 is about 44688.9022465310. The cubic root of 1997097984 is about 1259.3113697419.

The spelling of 1997097984 in words is "one billion, nine hundred ninety-seven million, ninety-seven thousand, nine hundred eighty-four".