Search a number
-
+
1086491664 = 243323432543
BaseRepresentation
bin100000011000010…
…1000110000010000
32210201102111101000
41000300220300100
54211120213124
6255451142000
735632012116
oct10060506020
92721374330
101086491664
115083292a5
12263a44900
1314413129b
14a4423ab6
15655b86c9
hex40c28c10

1086491664 has 160 divisors (see below), whose sum is σ = 3331215360. Its totient is φ = 338228352.

The previous prime is 1086491657. The next prime is 1086491669. The reversal of 1086491664 is 4661946801.

It is a super-3 number, since 3×10864916643 (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1086491669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 425977 + ... + 428519.

It is an arithmetic number, because the mean of its divisors is an integer number (20820096).

Almost surely, 21086491664 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 1086491664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1665607680).

1086491664 is an abundant number, since it is smaller than the sum of its proper divisors (2244723696).

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

1086491664 is a wasteful number, since it uses less digits than its factorization.

1086491664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2626 (or 2614 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1086491664 is about 32961.9729992002. The cubic root of 1086491664 is about 1028.0371276593.

The spelling of 1086491664 in words is "one billion, eighty-six million, four hundred ninety-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 43 46 48 54 69 72 86 92 108 129 138 144 172 184 207 216 258 276 344 368 387 414 432 516 552 621 688 774 828 989 1032 1104 1161 1242 1548 1656 1978 2064 2322 2484 2543 2967 3096 3312 3956 4644 4968 5086 5934 6192 7629 7912 8901 9288 9936 10172 11868 15258 15824 17802 18576 20344 22887 23736 26703 30516 35604 40688 45774 47472 53406 58489 61032 68661 71208 91548 106812 109349 116978 122064 137322 142416 175467 183096 213624 218698 233956 274644 328047 350934 366192 427248 437396 467912 526401 549288 656094 701868 874792 935824 984141 1052802 1098576 1312188 1403736 1579203 1749584 1968282 2105604 2515027 2624376 2807472 2952423 3158406 3936564 4211208 5030054 5248752 5904846 6316812 7545081 7873128 8422416 10060108 11809692 12633624 15090162 15746256 20120216 22635243 23619384 25267248 30180324 40240432 45270486 47238768 60360648 67905729 90540972 120721296 135811458 181081944 271622916 362163888 543245832 1086491664