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1027115136 = 2732891593
BaseRepresentation
bin111101001110001…
…000100010000000
32122120200212002100
4331032020202000
54100420141021
6245530350400
734311222525
oct7516104200
92576625070
101027115136
11487863893
12247b8b400
13134a42048
149a5a914c
156028a626
hex3d388880

1027115136 has 48 divisors (see below), whose sum is σ = 2955634110. Its totient is φ = 342371328.

The previous prime is 1027115113. The next prime is 1027115161. The reversal of 1027115136 is 6315117201.

It can be written as a sum of positive squares in only one way, i.e., 1026561600 + 553536 = 32040^2 + 744^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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 5 ways as a sum of consecutive naturals, for example, 444645 + ... + 446948.

Almost surely, 21027115136 is an apocalyptic number.

1027115136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1027115136 is an abundant number, since it is smaller than the sum of its proper divisors (1928518974).

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

1027115136 is an equidigital number, since it uses as much as digits as its factorization.

1027115136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891613 (or 891598 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 1027115136 is about 32048.6370381019. The cubic root of 1027115136 is about 1008.9578951753.

The spelling of 1027115136 in words is "one billion, twenty-seven million, one hundred fifteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 891593 1783186 2674779 3566372 5349558 7132744 8024337 10699116 14265488 16048674 21398232 28530976 32097348 42796464 57061952 64194696 85592928 114123904 128389392 171185856 256778784 342371712 513557568 1027115136