Search a number
-
+
23676840 = 23335111993
BaseRepresentation
bin101101001010…
…0011110101000
31122112220112000
41122110132220
522030124330
62203251000
7405151455
oct132243650
948486460
1023676840
1112401840
127b19a60
134b9cb85
14320482c
15212a560
hex16947a8

23676840 has 128 divisors (see below), whose sum is σ = 86140800. Its totient is φ = 5736960.

The previous prime is 23676833. The next prime is 23676841. The reversal of 23676840 is 4867632.

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

It is a junction number, because it is equal to n+sod(n) for n = 23676795 and 23676804.

It is not an unprimeable number, because it can be changed into a prime (23676841) 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, 10884 + ... + 12876.

It is an arithmetic number, because the mean of its divisors is an integer number (672975).

Almost surely, 223676840 is an apocalyptic number.

23676840 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 23676840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43070400).

23676840 is an abundant number, since it is smaller than the sum of its proper divisors (62463960).

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

23676840 is a wasteful number, since it uses less digits than its factorization.

23676840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2024 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 23676840 is about 4865.8853254059. The cubic root of 23676840 is about 287.1493999718.

The spelling of 23676840 in words is "twenty-three million, six hundred seventy-six thousand, eight hundred forty".

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 1993 2376 2970 3960 3986 5940 5979 7972 9965 11880 11958 15944 17937 19930 21923 23916 29895 35874 39860 43846 47832 53811 59790 65769 71748 79720 87692 89685 107622 109615 119580 131538 143496 175384 179370 197307 215244 219230 239160 263076 269055 328845 358740 394614 430488 438460 526152 538110 591921 657690 717480 789228 876920 986535 1076220 1183842 1315380 1578456 1973070 2152440 2367684 2630760 2959605 3946140 4735368 5919210 7892280 11838420 23676840