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1997388000 = 253253113491
BaseRepresentation
bin111011100001101…
…1011100011100000
312011012102211020100
41313003123203200
513042312404000
6530110542400
7100332342426
oct16703334340
95135384210
101997388000
11935523193
12478b07a00
1325aa714ba
1414d3b9116
15ba548a00
hex770db8e0

1997388000 has 288 divisors, whose sum is σ = 7166027232. Its totient is φ = 526848000.

The previous prime is 1997387993. The next prime is 1997388023. The reversal of 1997388000 is 8837991.

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 a congruent number.

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, 4067755 + ... + 4068245.

It is an arithmetic number, because the mean of its divisors is an integer number (24882039).

Almost surely, 21997388000 is an apocalyptic number.

1997388000 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 1997388000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3583013616).

1997388000 is an abundant number, since it is smaller than the sum of its proper divisors (5168639232).

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

1997388000 is a wasteful number, since it uses less digits than its factorization.

1997388000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 1997388000 is about 44692.1469611832. The cubic root of 1997388000 is about 1259.3723253170.

The spelling of 1997388000 in words is "one billion, nine hundred ninety-seven million, three hundred eighty-eight thousand".