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23689320 = 23351131747
BaseRepresentation
bin101101001011…
…1100001101000
31122120112122020
41122113201220
522031024240
62203424440
7405233034
oct132274150
948515566
1023689320
1112410156
127b25120
134ba5765
1432091c4
15212e0d0
hex1697868

23689320 has 64 divisors (see below), whose sum is σ = 71737920. Its totient is φ = 6257664.

The previous prime is 23689291. The next prime is 23689321. The reversal of 23689320 is 2398632.

It is a super-2 number, since 2×236893202 = 1122367764124800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23689321) 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, 12687 + ... + 14433.

It is an arithmetic number, because the mean of its divisors is an integer number (1120905).

Almost surely, 223689320 is an apocalyptic number.

23689320 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 23689320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35868960).

23689320 is an abundant number, since it is smaller than the sum of its proper divisors (48048600).

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

23689320 is a wasteful number, since it uses less digits than its factorization.

23689320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1874 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 23689320 is about 4867.1675541325. The cubic root of 23689320 is about 287.1998430075.

The spelling of 23689320 in words is "twenty-three million, six hundred eighty-nine thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 113 120 226 339 452 565 678 904 1130 1356 1695 1747 2260 2712 3390 3494 4520 5241 6780 6988 8735 10482 13560 13976 17470 20964 26205 34940 41928 52410 69880 104820 197411 209640 394822 592233 789644 987055 1184466 1579288 1974110 2368932 2961165 3948220 4737864 5922330 7896440 11844660 23689320