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1890832896 = 2934127359
BaseRepresentation
bin111000010110011…
…1101001000000000
311212202221021010000
41300230331020000
512333023123041
6511343040000
764566546231
oct16054751000
94782837100
101890832896
11890364817
124492a0000
13241974144
1413d19d088
15b0eebbb6
hex70b3d200

1890832896 has 200 divisors, whose sum is σ = 5703920640. Its totient is φ = 623572992.

The previous prime is 1890832883. The next prime is 1890832897. The reversal of 1890832896 is 6982380981.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1890832897) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5266765 + ... + 5267123.

Almost surely, 21890832896 is an apocalyptic number.

1890832896 is a gapful number since it is divisible by the number (16) 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 1890832896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2851960320).

1890832896 is an abundant number, since it is smaller than the sum of its proper divisors (3813087744).

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

1890832896 is an equidigital number, since it uses as much as digits as its factorization.

1890832896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The square root of 1890832896 is about 43483.7083975137. The cubic root of 1890832896 is about 1236.5671824257.

The spelling of 1890832896 in words is "one billion, eight hundred ninety million, eight hundred thirty-two thousand, eight hundred ninety-six".