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1036134990 = 2375115973
BaseRepresentation
bin111101110000100…
…010101001001110
32200012200010000000
4331300202221032
54110222304430
6250451545130
734451000502
oct7560425116
92605603000
101036134990
11491964610
1224abbb1a6
1313687c737
149b876302
1560e6ce60
hex3dc22a4e

1036134990 has 256 divisors, whose sum is σ = 3145651200. Its totient is φ = 243544320.

The previous prime is 1036134947. The next prime is 1036134991. The reversal of 1036134990 is 994316301.

1036134990 is a `hidden beast` number, since 103 + 61 + 3 + 499 + 0 = 666.

1036134990 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10361349903 (a number of 28 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1036134991) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14193594 + ... + 14193666.

It is an arithmetic number, because the mean of its divisors is an integer number (12287700).

Almost surely, 21036134990 is an apocalyptic number.

1036134990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1036134990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572825600).

1036134990 is an abundant number, since it is smaller than the sum of its proper divisors (2109516210).

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

1036134990 is an equidigital number, since it uses as much as digits as its factorization.

1036134990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 1036134990 is about 32189.0507781761. The cubic root of 1036134990 is about 1011.9027588871.

The spelling of 1036134990 in words is "one billion, thirty-six million, one hundred thirty-four thousand, nine hundred ninety".