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23880000 = 26354199
BaseRepresentation
bin101101100011…
…0000101000000
31122221020012110
41123012011000
522103130000
62211455320
7406655664
oct133060500
948836173
1023880000
1112530441
127bb7540
134c414a1
1432588a4
15216a850
hex16c6140

23880000 has 140 divisors (see below), whose sum is σ = 79349600. Its totient is φ = 6336000.

The previous prime is 23879993. The next prime is 23880011. The reversal of 23880000 is 8832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 119901 + ... + 120099.

Almost surely, 223880000 is an apocalyptic number.

23880000 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 23880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39674800).

23880000 is an abundant number, since it is smaller than the sum of its proper divisors (55469600).

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

23880000 is an equidigital number, since it uses as much as digits as its factorization.

23880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 23880000 is about 4886.7166891482. The cubic root of 23880000 is about 287.9683607218.

Adding to 23880000 its reverse (8832), we get a palindrome (23888832).

The spelling of 23880000 in words is "twenty-three million, eight hundred eighty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 199 200 240 250 300 320 375 398 400 480 500 597 600 625 750 796 800 960 995 1000 1194 1200 1250 1500 1592 1600 1875 1990 2000 2388 2400 2500 2985 3000 3184 3750 3980 4000 4776 4800 4975 5000 5970 6000 6368 7500 7960 8000 9552 9950 10000 11940 12000 12736 14925 15000 15920 19104 19900 20000 23880 24000 24875 29850 30000 31840 38208 39800 40000 47760 49750 59700 60000 63680 74625 79600 95520 99500 119400 120000 124375 149250 159200 191040 199000 238800 248750 298500 318400 373125 398000 477600 497500 597000 746250 796000 955200 995000 1194000 1492500 1592000 1990000 2388000 2985000 3980000 4776000 5970000 7960000 11940000 23880000