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1086843312 = 243322711083
BaseRepresentation
bin100000011000111…
…1110100110110000
32210202002100202000
41000301332212300
54211212441222
6255502454000
735635005252
oct10061764660
92722070660
101086843312
11508549515
12263b94300
13144225369
14a44b5cd2
15656379ac
hex40c7e9b0

1086843312 has 80 divisors (see below), whose sum is σ = 3133668480. Its totient is φ = 360652608.

The previous prime is 1086843259. The next prime is 1086843323. The reversal of 1086843312 is 2133486801.

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

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, 92523 + ... + 103605.

It is an arithmetic number, because the mean of its divisors is an integer number (39170856).

Almost surely, 21086843312 is an apocalyptic number.

1086843312 is a gapful number since it is divisible by the number (12) 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 1086843312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566834240).

1086843312 is an abundant number, since it is smaller than the sum of its proper divisors (2046825168).

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

1086843312 is a wasteful number, since it uses less digits than its factorization.

1086843312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11327 (or 11315 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1086843312 is about 32967.3067143799. The cubic root of 1086843312 is about 1028.1480253365.

The spelling of 1086843312 in words is "one billion, eighty-six million, eight hundred forty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 227 432 454 681 908 1362 1816 2043 2724 3632 4086 5448 6129 8172 10896 11083 12258 16344 22166 24516 32688 33249 44332 49032 66498 88664 98064 99747 132996 177328 199494 265992 299241 398988 531984 598482 797976 1196964 1595952 2393928 2515841 4787856 5031682 7547523 10063364 15095046 20126728 22642569 30190092 40253456 45285138 60380184 67927707 90570276 120760368 135855414 181140552 271710828 362281104 543421656 1086843312