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1086045696 = 29322111117
BaseRepresentation
bin100000010111011…
…1011111000000000
32210200120211121200
41000232323320000
54211011430241
6255433421200
735625143661
oct10056737000
92720524550
101086045696
1150805422a
1226386a800
131440062b8
14a4349368
156552b4b6
hex40bbbe00

1086045696 has 120 divisors (see below), whose sum is σ = 3152075784. Its totient is φ = 359976960.

The previous prime is 1086045677. The next prime is 1086045703. The reversal of 1086045696 is 6965406801.

1086045696 is a `hidden beast` number, since 1 + 0 + 86 + 0 + 4 + 569 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

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, 971730 + ... + 972846.

Almost surely, 21086045696 is an apocalyptic number.

1086045696 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 1086045696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576037892).

1086045696 is an abundant number, since it is smaller than the sum of its proper divisors (2066030088).

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

1086045696 is a wasteful number, since it uses less digits than its factorization.

1086045696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 1086045696 is about 32955.2074185553. The cubic root of 1086045696 is about 1027.8964502783.

The spelling of 1086045696 in words is "one billion, eighty-six million, forty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 211 256 288 384 422 512 576 633 768 844 1117 1152 1266 1536 1688 1899 2234 2304 2532 3351 3376 3798 4468 4608 5064 6702 6752 7596 8936 10053 10128 13404 13504 15192 17872 20106 20256 26808 27008 30384 35744 40212 40512 53616 54016 60768 71488 80424 81024 107232 108032 121536 142976 160848 162048 214464 235687 243072 285952 321696 324096 428928 471374 486144 571904 643392 707061 857856 942748 972288 1286784 1414122 1715712 1885496 2121183 2573568 2828244 3770992 4242366 5147136 5656488 7541984 8484732 11312976 15083968 16969464 22625952 30167936 33938928 45251904 60335872 67877856 90503808 120671744 135755712 181007616 271511424 362015232 543022848 1086045696