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1690922880 = 273251631801
BaseRepresentation
bin110010011001001…
…0110111110000000
311100211202210010100
41210302112332000
511430334013010
6435442202400
756621415213
oct14462267600
94324683110
101690922880
11798533429
123b2353400
1320c41baaa
1412080177a
159d6ae2c0
hex64c96f80

1690922880 has 192 divisors, whose sum is σ = 5878051920. Its totient is φ = 447897600.

The previous prime is 1690922843. The next prime is 1690922887. The reversal of 1690922880 is 882290961.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×16909228802 = 5718440372214988800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1690922887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 937980 + ... + 939780.

Almost surely, 21690922880 is an apocalyptic number.

1690922880 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 1690922880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2939025960).

1690922880 is an abundant number, since it is smaller than the sum of its proper divisors (4187129040).

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

1690922880 is a wasteful number, since it uses less digits than its factorization.

1690922880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1989 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 1690922880 is about 41120.8326763941. The cubic root of 1690922880 is about 1191.3552058259.

The spelling of 1690922880 in words is "one billion, six hundred ninety million, nine hundred twenty-two thousand, eight hundred eighty".