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1086404460 = 223543431977
BaseRepresentation
bin100000011000001…
…0011011101101100
32210201021001202020
41000300103131230
54211104420320
6255445230140
735631166641
oct10060233554
92721231666
101086404460
11508279829
12263a02350
1314410069b
14a43dddc8
156559c940
hex40c1376c

1086404460 has 96 divisors (see below), whose sum is σ = 3123090432. Its totient is φ = 282024960.

The previous prime is 1086404453. The next prime is 1086404461. The reversal of 1086404460 is 644046801.

It is not an unprimeable number, because it can be changed into a prime (1086404461) 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 31 ways as a sum of consecutive naturals, for example, 1111492 + ... + 1112468.

It is an arithmetic number, because the mean of its divisors is an integer number (32532192).

Almost surely, 21086404460 is an apocalyptic number.

1086404460 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 1086404460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561545216).

1086404460 is an abundant number, since it is smaller than the sum of its proper divisors (2036685972).

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

1086404460 is a wasteful number, since it uses less digits than its factorization.

1086404460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 1086404460 is about 32960.6501756261. The cubic root of 1086404460 is about 1028.0096228161.

The spelling of 1086404460 in words is "one billion, eighty-six million, four hundred four thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 431 516 645 860 862 977 1290 1293 1724 1954 2155 2580 2586 2931 3908 4310 4885 5172 5862 6465 8620 9770 11724 12930 14655 18533 19540 25860 29310 37066 42011 55599 58620 74132 84022 92665 111198 126033 168044 185330 210055 222396 252066 277995 370660 420110 421087 504132 555990 630165 840220 842174 1111980 1260330 1263261 1684348 2105435 2520660 2526522 4210870 5053044 6316305 8421740 12632610 18106741 25265220 36213482 54320223 72426964 90533705 108640446 181067410 217280892 271601115 362134820 543202230 1086404460