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1082467080 = 233258813413
BaseRepresentation
bin100000010000101…
…0010001100001000
32210102212000200100
41000201102030020
54204102421310
6255225005400
735552550462
oct10041221410
92712760610
101082467080
1150602a5a2
12262623860
13143352486
14a3a97132
1565070ec0
hex40852308

1082467080 has 96 divisors (see below), whose sum is σ = 3523043160. Its totient is φ = 288245760.

The previous prime is 1082467049. The next prime is 1082467081. The reversal of 1082467080 is 807642801.

It can be written as a sum of positive squares in 4 ways, for example, as 942612804 + 139854276 = 30702^2 + 11826^2 .

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 (1082467081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 315454 + ... + 318866.

Almost surely, 21082467080 is an apocalyptic number.

1082467080 is a gapful number since it is divisible by the number (10) 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 1082467080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761521580).

1082467080 is an abundant number, since it is smaller than the sum of its proper divisors (2440576080).

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

1082467080 is a wasteful number, since it uses less digits than its factorization.

1082467080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4311 (or 4304 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1082467080 is about 32900.8674657675. The cubic root of 1082467080 is about 1026.7662049066.

The spelling of 1082467080 in words is "one billion, eighty-two million, four hundred sixty-seven thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 881 1762 2643 3413 3524 4405 5286 6826 7048 7929 8810 10239 10572 13215 13652 15858 17065 17620 20478 21144 26430 27304 30717 31716 34130 35240 39645 40956 51195 52860 61434 63432 68260 79290 81912 102390 105720 122868 136520 153585 158580 204780 245736 307170 317160 409560 614340 1228680 3006853 6013706 9020559 12027412 15034265 18041118 24054824 27061677 30068530 36082236 45102795 54123354 60137060 72164472 90205590 108246708 120274120 135308385 180411180 216493416 270616770 360822360 541233540 1082467080