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1690260480 = 21033512227
BaseRepresentation
bin110010010111111…
…0101010000000000
311100210112010111000
41210233311100000
511430201313410
6435420052000
756612656056
oct14457652000
94323463430
101690260480
11798120797
123b2094000
1320c24943c
141206ac1d6
159d5ccdc0
hex64bf5400

1690260480 has 176 divisors, whose sum is σ = 6007371840. Its totient is φ = 450699264.

The previous prime is 1690260457. The next prime is 1690260527. The reversal of 1690260480 is 840620961.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132127 + ... + 144353.

Almost surely, 21690260480 is an apocalyptic number.

1690260480 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 1690260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3003685920).

1690260480 is an abundant number, since it is smaller than the sum of its proper divisors (4317111360).

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

1690260480 is a wasteful number, since it uses less digits than its factorization.

1690260480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12261 (or 12237 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1690260480 is about 41112.7775758340. Note that the first 3 decimals coincide. The cubic root of 1690260480 is about 1191.1996188449.

The spelling of 1690260480 in words is "one billion, six hundred ninety million, two hundred sixty thousand, four hundred eighty".