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1036135656 = 233214390773
BaseRepresentation
bin111101110000100…
…010110011101000
32200012200010220200
4331300202303220
54110222320111
6250451552200
734451002443
oct7560426350
92605603820
101036135656
11491965066
1224abbb660
1313687cb2a
149b87665a
1560e6d256
hex3dc22ce8

1036135656 has 24 divisors (see below), whose sum is σ = 2806200930. Its totient is φ = 345378528.

The previous prime is 1036135631. The next prime is 1036135663. The reversal of 1036135656 is 6565316301.

1036135656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1028484900 + 7650756 = 32070^2 + 2766^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×10361356563 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1036135656.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7195315 + ... + 7195458.

Almost surely, 21036135656 is an apocalyptic number.

It is an amenable number.

1036135656 is an abundant number, since it is smaller than the sum of its proper divisors (1770065274).

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

1036135656 is a wasteful number, since it uses less digits than its factorization.

1036135656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14390785 (or 14390778 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 1036135656 is about 32189.0611233071. The cubic root of 1036135656 is about 1011.9029756951.

The spelling of 1036135656 in words is "one billion, thirty-six million, one hundred thirty-five thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 14390773 28781546 43172319 57563092 86344638 115126184 129516957 172689276 259033914 345378552 518067828 1036135656