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1090324872 = 2332721323773
BaseRepresentation
bin100000011111101…
…0000100110001000
32210222122020112200
41000333100212020
54213110343442
6300105240200
736006415500
oct10077204610
92728566480
101090324872
1150a50723a
12265193060
13144b73c60
14a4b40a00
1565ac434c
hex40fd0988

1090324872 has 144 divisors (see below), whose sum is σ = 3699472140. Its totient is φ = 287546112.

The previous prime is 1090324871. The next prime is 1090324877. The reversal of 1090324872 is 2784230901.

It can be written as a sum of positive squares in 2 ways, for example, as 973814436 + 116510436 = 31206^2 + 10794^2 .

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 (1090324871) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33978 + ... + 57750.

Almost surely, 21090324872 is an apocalyptic number.

1090324872 is a gapful number since it is divisible by the number (12) 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 1090324872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849736070).

1090324872 is an abundant number, since it is smaller than the sum of its proper divisors (2609147268).

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

1090324872 is a wasteful number, since it uses less digits than its factorization.

1090324872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23812 (or 23798 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1090324872 is about 33020.0677164660. The cubic root of 1090324872 is about 1029.2447009325.

The spelling of 1090324872 in words is "one billion, ninety million, three hundred twenty-four thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 49 52 56 63 72 78 84 91 98 104 117 126 147 156 168 182 196 234 252 273 294 312 364 392 441 468 504 546 588 637 728 819 882 936 1092 1176 1274 1638 1764 1911 2184 2548 3276 3528 3822 5096 5733 6552 7644 11466 15288 22932 23773 45864 47546 71319 95092 142638 166411 190184 213957 285276 309049 332822 427914 499233 570552 618098 665644 855828 927147 998466 1164877 1236196 1331288 1497699 1711656 1854294 1996932 2163343 2329754 2472392 2781441 2995398 3494631 3708588 3993864 4326686 4659508 5562882 5990796 6490029 6989262 7417176 8653372 9319016 10483893 11125764 11981592 12980058 13978524 15143401 17306744 19470087 20967786 22251528 25960116 27957048 30286802 38940174 41935572 45430203 51920232 60573604 77880348 83871144 90860406 121147208 136290609 155760696 181720812 272581218 363441624 545162436 1090324872