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1055655936 = 21133171123
BaseRepresentation
bin111110111011000…
…000100000000000
32201120101212201000
4332323000200000
54130221442221
6252430212000
735105633046
oct7673004000
92646355630
101055655936
114a1987a25
12255654000
1313a925aaa
14a02b8396
1562a26e26
hex3eec0800

1055655936 has 192 divisors, whose sum is σ = 3314001600. Its totient is φ = 330891264.

The previous prime is 1055655929. The next prime is 1055655973. The reversal of 1055655936 is 6395565501.

It is a happy number.

1055655936 is a `hidden beast` number, since 1 + 0 + 5 + 56 + 5 + 593 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10556559362 = 2228818910424072192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1055655891 and 1055655900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 939471 + ... + 940593.

It is an arithmetic number, because the mean of its divisors is an integer number (17260425).

Almost surely, 21055655936 is an apocalyptic number.

1055655936 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 1055655936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657000800).

1055655936 is an abundant number, since it is smaller than the sum of its proper divisors (2258345664).

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

1055655936 is a wasteful number, since it uses less digits than its factorization.

1055655936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 607500, while the sum is 45.

The square root of 1055655936 is about 32490.8592684158. The cubic root of 1055655936 is about 1018.2180652526.

The spelling of 1055655936 in words is "one billion, fifty-five million, six hundred fifty-five thousand, nine hundred thirty-six".