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1102400424 = 233231539319
BaseRepresentation
bin100000110110101…
…0100101110101000
32211211100202002100
41001231110232220
54224203303144
6301220133400
736214151256
oct10155245650
92754322070
101102400424
11516304834
12269237260
13147511458
14a65a55d6
1566bac269
hex41b54ba8

1102400424 has 96 divisors (see below), whose sum is σ = 3140467200. Its totient is φ = 348865920.

The previous prime is 1102400407. The next prime is 1102400437. The reversal of 1102400424 is 4240042011.

1102400424 is a `hidden beast` number, since 1 + 1 + 0 + 240 + 0 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1102400397 and 1102400406.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113637 + ... + 122955.

It is an arithmetic number, because the mean of its divisors is an integer number (32713200).

Almost surely, 21102400424 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 1102400424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570233600).

1102400424 is an abundant number, since it is smaller than the sum of its proper divisors (2038066776).

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

1102400424 is a wasteful number, since it uses less digits than its factorization.

1102400424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9415 (or 9408 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1102400424 is about 33202.4159361936. The cubic root of 1102400424 is about 1033.0304517325.

Adding to 1102400424 its reverse (4240042011), we get a palindrome (5342442435).

The spelling of 1102400424 in words is "one billion, one hundred two million, four hundred thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 53 62 72 93 106 124 159 186 212 248 279 318 372 424 477 558 636 744 954 1116 1272 1643 1908 2232 3286 3816 4929 6572 9319 9858 13144 14787 18638 19716 27957 29574 37276 39432 55914 59148 74552 83871 111828 118296 167742 223656 288889 335484 493907 577778 670968 866667 987814 1155556 1481721 1733334 1975628 2311112 2600001 2963442 3466668 3951256 4445163 5200002 5926884 6933336 8890326 10400004 11853768 15311117 17780652 20800008 30622234 35561304 45933351 61244468 91866702 122488936 137800053 183733404 275600106 367466808 551200212 1102400424