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1890073920 = 263571372053
BaseRepresentation
bin111000010101000…
…0011110101000000
311212201111200222210
41300222003311000
512332324331140
6511314502120
764560235410
oct16052036500
94781450883
101890073920
1188a996569
12448b94940
13241769847
1413d042640
15b0debd80
hex70a83d40

1890073920 has 224 divisors, whose sum is σ = 6911693568. Its totient is φ = 428654592.

The previous prime is 1890073907. The next prime is 1890073931. The reversal of 1890073920 is 293700981.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 919614 + ... + 921666.

Almost surely, 21890073920 is an apocalyptic number.

1890073920 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 1890073920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3455846784).

1890073920 is an abundant number, since it is smaller than the sum of its proper divisors (5021619648).

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

1890073920 is a wasteful number, since it uses less digits than its factorization.

1890073920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2217 (or 2207 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 1890073920 is about 43474.9803910249. The cubic root of 1890073920 is about 1236.4017085372.

The spelling of 1890073920 in words is "one billion, eight hundred ninety million, seventy-three thousand, nine hundred twenty".