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1085366296 = 237293121559
BaseRepresentation
bin100000010110001…
…0110000000011000
32210122022022122201
41000230112000120
54210323210141
6255411055544
735616314140
oct10054260030
92718268581
101085366296
1150772a843
122635a15b4
13143b28ca1
14a420d920
1565445031
hex40b16018

1085366296 has 64 divisors (see below), whose sum is σ = 2483712000. Its totient is φ = 434609280.

The previous prime is 1085366281. The next prime is 1085366323. The reversal of 1085366296 is 6926635801.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39565 + ... + 61123.

It is an arithmetic number, because the mean of its divisors is an integer number (38808000).

Almost surely, 21085366296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1085366296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241856000).

1085366296 is an abundant number, since it is smaller than the sum of its proper divisors (1398345704).

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

1085366296 is a wasteful number, since it uses less digits than its factorization.

1085366296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21632 (or 21628 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The square root of 1085366296 is about 32944.8978750883. The cubic root of 1085366296 is about 1027.6820644181.

The spelling of 1085366296 in words is "one billion, eighty-five million, three hundred sixty-six thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 28 29 31 56 58 62 116 124 203 217 232 248 406 434 812 868 899 1624 1736 1798 3596 6293 7192 12586 21559 25172 43118 50344 86236 150913 172472 301826 603652 625211 668329 1207304 1250422 1336658 2500844 2673316 4376477 4678303 5001688 5346632 8752954 9356606 17505908 18713212 19381541 35011816 37426424 38763082 77526164 135670787 155052328 271341574 542683148 1085366296