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23848020 = 223557701
BaseRepresentation
bin101101011111…
…0010001010100
31122212121100000
41122332101110
522101114040
62211051300
7406463520
oct132762124
948777300
1023848020
1112509409
127ba0b30
134c2ca71
14324ad80
152161130
hex16be454

23848020 has 144 divisors (see below), whose sum is σ = 85857408. Its totient is φ = 5443200.

The previous prime is 23848009. The next prime is 23848031. The reversal of 23848020 is 2084832.

It is an interprime number because it is at equal distance from previous prime (23848009) and next prime (23848031).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 33670 + ... + 34370.

It is an arithmetic number, because the mean of its divisors is an integer number (596232).

Almost surely, 223848020 is an apocalyptic number.

23848020 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 23848020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42928704).

23848020 is an abundant number, since it is smaller than the sum of its proper divisors (62009388).

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

23848020 is a wasteful number, since it uses less digits than its factorization.

23848020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 23848020 is about 4883.4434572338. The cubic root of 23848020 is about 287.8397546048.

It can be divided in two parts, 2384 and 8020, that added together give a square (10404 = 1022).

The spelling of 23848020 in words is "twenty-three million, eight hundred forty-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 243 252 270 315 324 378 405 420 486 540 567 630 701 756 810 945 972 1134 1215 1260 1402 1620 1701 1890 2103 2268 2430 2804 2835 3402 3505 3780 4206 4860 4907 5670 6309 6804 7010 8412 8505 9814 10515 11340 12618 14020 14721 17010 18927 19628 21030 24535 25236 29442 31545 34020 37854 42060 44163 49070 56781 58884 63090 73605 75708 88326 94635 98140 113562 126180 132489 147210 170343 176652 189270 220815 227124 264978 283905 294420 340686 378540 397467 441630 529956 567810 662445 681372 794934 851715 883260 1135620 1192401 1324890 1589868 1703430 1987335 2384802 2649780 3406860 3974670 4769604 5962005 7949340 11924010 23848020