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1990935936 = 2735112232
BaseRepresentation
bin111011010101011…
…0100010110000000
312010202022000200000
41312222310112000
513034134422221
6525320400000
7100223450643
oct16652642600
95122260600
101990935936
11931916700
12476916000
13259622802
1414c5b9a5a
15b9bc1e26
hex76ab4580

1990935936 has 432 divisors, whose sum is σ = 6826818180. Its totient is φ = 577082880.

The previous prime is 1990935929. The next prime is 1990935941. The reversal of 1990935936 is 6395390991.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 86562421 + ... + 86562443.

Almost surely, 21990935936 is an apocalyptic number.

1990935936 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 1990935936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3413409090).

1990935936 is an abundant number, since it is smaller than the sum of its proper divisors (4835882244).

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

1990935936 is an equidigital number, since it uses as much as digits as its factorization.

1990935936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 1771470, while the sum is 54.

The square root of 1990935936 is about 44619.9051545384. The cubic root of 1990935936 is about 1258.0148331378.

Multiplying 1990935936 by its sum of digits (54), we get a square (107510540544 = 3278882).

1990935936 divided by its sum of digits (54) gives a square (36869184 = 60722).

The spelling of 1990935936 in words is "one billion, nine hundred ninety million, nine hundred thirty-five thousand, nine hundred thirty-six".