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1086042816 = 263569833
BaseRepresentation
bin100000010111011…
…1011001011000000
32210200120200200000
41000232323023000
54211011332231
6255433400000
735625132405
oct10056731300
92720520600
101086042816
11508052051
12263869000
13144004bb1
14a43482ac
156552a6e6
hex40bbb2c0

1086042816 has 84 divisors (see below), whose sum is σ = 3228286152. Its totient is φ = 362009088.

The previous prime is 1086042761. The next prime is 1086042817. The reversal of 1086042816 is 6182406801.

1086042816 is a `hidden beast` number, since 10 + 8 + 604 + 28 + 16 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1086042817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19365 + ... + 50468.

It is an arithmetic number, because the mean of its divisors is an integer number (38431978).

Almost surely, 21086042816 is an apocalyptic number.

1086042816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1086042816 is an abundant number, since it is smaller than the sum of its proper divisors (2142243336).

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

1086042816 is an frugal number, since it uses more digits than its factorization.

1086042816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69860 (or 69838 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1086042816 is about 32955.1637228523. The cubic root of 1086042816 is about 1027.8955416780.

The spelling of 1086042816 in words is "one billion, eighty-six million, forty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1728 1944 2592 3888 5184 7776 15552 69833 139666 209499 279332 418998 558664 628497 837996 1117328 1256994 1675992 1885491 2234656 2513988 3351984 3770982 4469312 5027976 5656473 6703968 7541964 10055952 11312946 13407936 15083928 16969419 20111904 22625892 30167856 33938838 40223808 45251784 60335712 67877676 90503568 120671424 135755352 181007136 271510704 362014272 543021408 1086042816