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1997362080 = 2532571910429
BaseRepresentation
bin111011100001101…
…0101001110100000
312011012101111200100
41313003111032200
513042311041310
6530110222400
7100332204030
oct16703251640
95135344610
101997362080
1193550576a
12478ab4a00
1325aa6276c
1414d3ad8c0
15ba540ec0
hex770d53a0

1997362080 has 288 divisors, whose sum is σ = 8200483200. Its totient is φ = 432470016.

The previous prime is 1997362069. The next prime is 1997362117. The reversal of 1997362080 is 802637991.

1997362080 is a `hidden beast` number, since 19 + 9 + 7 + 3 + 620 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186306 + ... + 196734.

It is an arithmetic number, because the mean of its divisors is an integer number (28473900).

Almost surely, 21997362080 is an apocalyptic number.

1997362080 is a gapful number since it is divisible by the number (10) 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 1997362080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4100241600).

1997362080 is an abundant number, since it is smaller than the sum of its proper divisors (6203121120).

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

1997362080 is a wasteful number, since it uses less digits than its factorization.

1997362080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10476 (or 10465 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 1997362080 is about 44691.8569764113. The cubic root of 1997362080 is about 1259.3668776904.

The spelling of 1997362080 in words is "one billion, nine hundred ninety-seven million, three hundred sixty-two thousand, eighty".