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23680020 = 22357134337
BaseRepresentation
bin101101001010…
…1010000010100
31122120001212210
41122111100110
522030230040
62203313420
7405163650
oct132252024
948501783
1023680020
1112404171
127b1b870
134ba1460
143205a60
15212b480
hex1695414

23680020 has 96 divisors (see below), whose sum is σ = 81623808. Its totient is φ = 4995072.

The previous prime is 23680003. The next prime is 23680021. The reversal of 23680020 is 2008632.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23680021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3292 + ... + 7628.

It is an arithmetic number, because the mean of its divisors is an integer number (850248).

Almost surely, 223680020 is an apocalyptic number.

23680020 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 23680020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40811904).

23680020 is an abundant number, since it is smaller than the sum of its proper divisors (57943788).

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

23680020 is a wasteful number, since it uses less digits than its factorization.

23680020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4369 (or 4367 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 23680020 is about 4866.2120792255. The cubic root of 23680020 is about 287.1622549279.

Adding to 23680020 its reverse (2008632), we get a palindrome (25688652).

The spelling of 23680020 in words is "twenty-three million, six hundred eighty thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 780 910 1092 1365 1820 2730 4337 5460 8674 13011 17348 21685 26022 30359 43370 52044 56381 60718 65055 86740 91077 112762 121436 130110 151795 169143 182154 225524 260220 281905 303590 338286 364308 394667 455385 563810 607180 676572 789334 845715 910770 1127620 1184001 1578668 1691430 1821540 1973335 2368002 3382860 3946670 4736004 5920005 7893340 11840010 23680020