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23890680 = 23335112011
BaseRepresentation
bin101101100100…
…0101011111000
31122221202212000
41123020223320
522104000210
62212021000
7410032062
oct133105370
948852760
1023890680
1112538470
128001760
134c462c8
14325c732
15216dac0
hex16c8af8

23890680 has 128 divisors (see below), whose sum is σ = 86918400. Its totient is φ = 5788800.

The previous prime is 23890673. The next prime is 23890681. The reversal of 23890680 is 8609832.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23890681) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10875 + ... + 12885.

It is an arithmetic number, because the mean of its divisors is an integer number (679050).

Almost surely, 223890680 is an apocalyptic number.

23890680 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 23890680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43459200).

23890680 is an abundant number, since it is smaller than the sum of its proper divisors (63027720).

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

23890680 is a wasteful number, since it uses less digits than its factorization.

23890680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 23890680 is about 4887.8093252499. The cubic root of 23890680 is about 288.0112842801.

The spelling of 23890680 in words is "twenty-three million, eight hundred ninety thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 594 660 792 990 1080 1188 1320 1485 1980 2011 2376 2970 3960 4022 5940 6033 8044 10055 11880 12066 16088 18099 20110 22121 24132 30165 36198 40220 44242 48264 54297 60330 66363 72396 80440 88484 90495 108594 110605 120660 132726 144792 176968 180990 199089 217188 221210 241320 265452 271485 331815 361980 398178 434376 442420 530904 542970 597267 663630 723960 796356 884840 995445 1085940 1194534 1327260 1592712 1990890 2171880 2389068 2654520 2986335 3981780 4778136 5972670 7963560 11945340 23890680