Search a number
-
+
1085079888 = 24344319471
BaseRepresentation
bin100000010101101…
…0000000101010000
32210121202202210000
41000223100011100
54210240024023
6255401010000
735614012134
oct10053200520
92717682700
101085079888
11507554642
12263483900
13143a58809
14a41773c4
15653da243
hex40ad0150

1085079888 has 100 divisors (see below), whose sum is σ = 3213736768. Its totient is φ = 353263680.

The previous prime is 1085079881. The next prime is 1085079889. The reversal of 1085079888 is 8889705801.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085079881) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 45993 + ... + 65463.

Almost surely, 21085079888 is an apocalyptic number.

1085079888 is a gapful number since it is divisible by the number (18) 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 1085079888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606868384).

1085079888 is an abundant number, since it is smaller than the sum of its proper divisors (2128656880).

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

1085079888 is a wasteful number, since it uses less digits than its factorization.

1085079888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19534 (or 19519 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 54.

The square root of 1085079888 is about 32940.5508150668. The cubic root of 1085079888 is about 1027.5916610647.

The spelling of 1085079888 in words is "one billion, eighty-five million, seventy-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 81 86 108 129 144 162 172 216 258 324 344 387 432 516 648 688 774 1032 1161 1296 1548 2064 2322 3096 3483 4644 6192 6966 9288 13932 18576 19471 27864 38942 55728 58413 77884 116826 155768 175239 233652 311536 350478 467304 525717 700956 837253 934608 1051434 1401912 1577151 1674506 2102868 2511759 2803824 3154302 3349012 4205736 5023518 6308604 6698024 7535277 8411472 10047036 12617208 13396048 15070554 20094072 22605831 25234416 30141108 40188144 45211662 60282216 67817493 90423324 120564432 135634986 180846648 271269972 361693296 542539944 1085079888