Search a number
-
+
1890066528 = 253371731593
BaseRepresentation
bin111000010101000…
…0010000001100000
311212201111022212000
41300222002001200
512332324112103
6511314404000
764560205020
oct16052020140
94781438760
101890066528
1188a990a59
12448b90600
1324176637c
1413d03da80
15b0de9aa3
hex70a82060

1890066528 has 384 divisors, whose sum is σ = 6897623040. Its totient is φ = 491028480.

The previous prime is 1890066509. The next prime is 1890066533. The reversal of 1890066528 is 8256600981.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3187000 + ... + 3187592.

It is an arithmetic number, because the mean of its divisors is an integer number (17962560).

Almost surely, 21890066528 is an apocalyptic number.

1890066528 is a gapful number since it is divisible by the number (18) 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 1890066528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3448811520).

1890066528 is an abundant number, since it is smaller than the sum of its proper divisors (5007556512).

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

1890066528 is a wasteful number, since it uses less digits than its factorization.

1890066528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 1890066528 is about 43474.8953765274. The cubic root of 1890066528 is about 1236.4000966966.

The spelling of 1890066528 in words is "one billion, eight hundred ninety million, sixty-six thousand, five hundred twenty-eight".