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1090260380 = 2251171223313
BaseRepresentation
bin100000011111100…
…0000110110011100
32210222111222002002
41000333000312130
54213101313010
6300104021432
736006026456
oct10077006634
92728458062
101090260380
1150a472840
12265161878
13144b507b1
14a4b252d6
1565ab01a5
hex40fc0d9c

1090260380 has 96 divisors (see below), whose sum is σ = 2552352768. Its totient is φ = 387878400.

The previous prime is 1090260373. The next prime is 1090260407. The reversal of 1090260380 is 830620901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3483104 + ... + 3483416.

It is an arithmetic number, because the mean of its divisors is an integer number (26587008).

Almost surely, 21090260380 is an apocalyptic number.

1090260380 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 1090260380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276176384).

1090260380 is an abundant number, since it is smaller than the sum of its proper divisors (1462092388).

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

1090260380 is a wasteful number, since it uses less digits than its factorization.

1090260380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 1090260380 is about 33019.0911443668. The cubic root of 1090260380 is about 1029.2244074831.

The spelling of 1090260380 in words is "one billion, ninety million, two hundred sixty thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 71 110 142 220 223 284 313 355 446 626 710 781 892 1115 1252 1420 1562 1565 2230 2453 3124 3130 3443 3905 4460 4906 6260 6886 7810 9812 12265 13772 15620 15833 17215 22223 24530 31666 34430 44446 49060 63332 68860 69799 79165 88892 111115 139598 158330 174163 222230 244453 279196 316660 348326 348995 444460 488906 696652 697990 767789 870815 977812 1222265 1395980 1535578 1741630 2444530 3071156 3483260 3838945 4889060 4955729 7677890 9911458 15355780 19822916 24778645 49557290 54513019 99114580 109026038 218052076 272565095 545130190 1090260380