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1123040320 = 26523532879
BaseRepresentation
bin100001011110000…
…0011110001000000
32220021012100200221
41002330003301000
54244444242240
6303234352424
736554454013
oct10274036100
92807170627
101123040320
11526a218a6
1227412b714
1314b889bcc
14a921937a
15688d7a4a
hex42f03c40

1123040320 has 112 divisors (see below), whose sum is σ = 2844149760. Its totient is φ = 421431296.

The previous prime is 1123040291. The next prime is 1123040327. The reversal of 1123040320 is 230403211.

It is a happy number.

It is a super-2 number, since 2×11230403202 = 2522439120691404800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1123040294 and 1123040303.

It is not an unprimeable number, because it can be changed into a prime (1123040327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 388641 + ... + 391519.

Almost surely, 21123040320 is an apocalyptic number.

1123040320 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 1123040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422074880).

1123040320 is an abundant number, since it is smaller than the sum of its proper divisors (1721109440).

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

1123040320 is a wasteful number, since it uses less digits than its factorization.

1123040320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2972 (or 2962 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1123040320 is about 33511.7937448893. The cubic root of 1123040320 is about 1039.4376644377.

Adding to 1123040320 its reverse (230403211), we get a palindrome (1353443531).

It can be divided in two parts, 1 and 123040320, that added together give a palindrome (123040321).

The spelling of 1123040320 in words is "one billion, one hundred twenty-three million, forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 53 64 80 92 106 115 160 184 212 230 265 320 368 424 460 530 736 848 920 1060 1219 1472 1696 1840 2120 2438 2879 3392 3680 4240 4876 5758 6095 7360 8480 9752 11516 12190 14395 16960 19504 23032 24380 28790 39008 46064 48760 57580 66217 78016 92128 97520 115160 132434 152587 184256 195040 230320 264868 305174 331085 390080 460640 529736 610348 662170 762935 921280 1059472 1220696 1324340 1525870 2118944 2441392 2648680 3051740 3509501 4237888 4882784 5297360 6103480 7019002 9765568 10594720 12206960 14038004 17547505 21189440 24413920 28076008 35095010 48827840 56152016 70190020 112304032 140380040 224608064 280760080 561520160 1123040320