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23080640 = 265117983
BaseRepresentation
bin101100000001…
…0111011000000
31121102121200112
41120002323000
521402040030
62142410452
7400116332
oct130027300
947377615
1023080640
1112034910
127890a28
134a216ab
1430cb452
15205da95
hex1602ec0

23080640 has 112 divisors (see below), whose sum is σ = 61447680. Its totient is φ = 8186880.

The previous prime is 23080639. The next prime is 23080643. The reversal of 23080640 is 4608032.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23080643) 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, 278039 + ... + 278121.

It is an arithmetic number, because the mean of its divisors is an integer number (548640).

Almost surely, 223080640 is an apocalyptic number.

23080640 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 23080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30723840).

23080640 is an abundant number, since it is smaller than the sum of its proper divisors (38367040).

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

23080640 is a wasteful number, since it uses less digits than its factorization.

23080640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 23080640 is about 4804.2314681955. The cubic root of 23080640 is about 284.7186718080.

Adding to 23080640 its reverse (4608032), we get a palindrome (27688672).

The spelling of 23080640 in words is "twenty-three million, eighty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 79 80 83 88 110 158 160 166 176 220 316 320 332 352 395 415 440 632 664 704 790 830 869 880 913 1264 1328 1580 1660 1738 1760 1826 2528 2656 3160 3320 3476 3520 3652 4345 4565 5056 5312 6320 6557 6640 6952 7304 8690 9130 12640 13114 13280 13904 14608 17380 18260 25280 26228 26560 27808 29216 32785 34760 36520 52456 55616 58432 65570 69520 72127 73040 104912 131140 139040 144254 146080 209824 262280 278080 288508 292160 360635 419648 524560 577016 721270 1049120 1154032 1442540 2098240 2308064 2885080 4616128 5770160 11540320 23080640