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1900080 = 2432571329

1900080 has 240 divisors, whose sum is σ = 8124480. Its totient is φ = 387072.

The previous prime is 1900079. The next prime is 1900111. The reversal of 1900080 is 800091.

1900080 = 2282 + 2292 + ... + 2592.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×19000802 = 7220608012800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a zygodrome in base 2 and base 12.

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, 65506 + ... + 65534.

It is an arithmetic number, because the mean of its divisors is an integer number (33852).

21900080 is an apocalyptic number.

1900080 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 1900080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4062240).

1900080 is an abundant number, since it is smaller than the sum of its proper divisors (6224400).

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

1900080 is a wasteful number, since it uses less digits than its factorization.

1900080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1900080 is about 1378.4338939536. The cubic root of 1900080 is about 123.8579712717.

The spelling of 1900080 in words is "one million, nine hundred thousand, eighty".