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1123242320 = 245831391217
BaseRepresentation
bin100001011110011…
…0101000101010000
32220021120121210102
41002330311011100
54300022223240
6303242551532
736556254644
oct10274650520
92807517712
101123242320
1152704a642
122742085a8
1314b92ab35
14a926cc24
1568927815
hex42f35150

1123242320 has 80 divisors (see below), whose sum is σ = 2664204480. Its totient is φ = 440328192.

The previous prime is 1123242317. The next prime is 1123242353. The reversal of 1123242320 is 232423211.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1123242292 and 1123242301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 922352 + ... + 923568.

It is an arithmetic number, because the mean of its divisors is an integer number (33302556).

Almost surely, 21123242320 is an apocalyptic number.

1123242320 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 1123242320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332102240).

1123242320 is an abundant number, since it is smaller than the sum of its proper divisors (1540962160).

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

1123242320 is a wasteful number, since it uses less digits than its factorization.

1123242320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1123242320 is about 33514.8074737123. The cubic root of 1123242320 is about 1039.4999815296.

Adding to 1123242320 its reverse (232423211), we get a palindrome (1355665531).

It can be divided in two parts, 1 and 123242320, that added together give a palindrome (123242321).

The spelling of 1123242320 in words is "one billion, one hundred twenty-three million, two hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 83 139 166 278 332 415 556 664 695 830 1112 1217 1328 1390 1660 2224 2434 2780 3320 4868 5560 6085 6640 9736 11120 11537 12170 19472 23074 24340 46148 48680 57685 92296 97360 101011 115370 169163 184592 202022 230740 338326 404044 461480 505055 676652 808088 845815 922960 1010110 1353304 1616176 1691630 2020220 2706608 3383260 4040440 6766520 8080880 13533040 14040529 28081058 56162116 70202645 112324232 140405290 224648464 280810580 561621160 1123242320