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23002320 = 2435118713
BaseRepresentation
bin101011110111…
…1110011010000
31121021122020210
41113233303100
521342033240
62141004120
7366342105
oct127576320
947248223
1023002320
1111a90a90
127853640
1349c4b53
1430aaaac
152045780
hex15efcd0

23002320 has 80 divisors (see below), whose sum is σ = 77798592. Its totient is φ = 5575680.

The previous prime is 23002267. The next prime is 23002327. The reversal of 23002320 is 2320032.

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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 23002296 and 23002305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23002327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1717 + ... + 6996.

Almost surely, 223002320 is an apocalyptic number.

23002320 is a gapful number since it is divisible by the number (20) 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 23002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38899296).

23002320 is an abundant number, since it is smaller than the sum of its proper divisors (54796272).

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

23002320 is a wasteful number, since it uses less digits than its factorization.

23002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8740 (or 8734 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 23002320 is about 4796.0733939338. The cubic root of 23002320 is about 284.3962596512.

Adding to 23002320 its reverse (2320032), we get a palindrome (25322352).

The spelling of 23002320 in words is "twenty-three million, two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 8713 17426 26139 34852 43565 52278 69704 87130 95843 104556 130695 139408 174260 191686 209112 261390 287529 348520 383372 418224 479215 522780 575058 697040 766744 958430 1045560 1150116 1437645 1533488 1916860 2091120 2300232 2875290 3833720 4600464 5750580 7667440 11501160 23002320