Search a number
-
+
23671980 = 2233559743
BaseRepresentation
bin101101001001…
…1010010101100
31122112122212000
41122103102230
522030000410
62203212300
7405131343
oct132232254
948478760
1023671980
11123a9122
127b17090
134b9a8b7
143202b5a
152128dc0
hex16934ac

23671980 has 96 divisors (see below), whose sum is σ = 74995200. Its totient is φ = 6197184.

The previous prime is 23671969. The next prime is 23671981. The reversal of 23671980 is 8917632.

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

It is not an unprimeable number, because it can be changed into a prime (23671981) 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, 31489 + ... + 32231.

It is an arithmetic number, because the mean of its divisors is an integer number (781200).

Almost surely, 223671980 is an apocalyptic number.

23671980 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 23671980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37497600).

23671980 is an abundant number, since it is smaller than the sum of its proper divisors (51323220).

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

23671980 is a wasteful number, since it uses less digits than its factorization.

23671980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 23671980 is about 4865.3859045301. The cubic root of 23671980 is about 287.1297514943.

The spelling of 23671980 in words is "twenty-three million, six hundred seventy-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 59 60 90 108 118 135 177 180 236 270 295 354 531 540 590 708 743 885 1062 1180 1486 1593 1770 2124 2229 2655 2972 3186 3540 3715 4458 5310 6372 6687 7430 7965 8916 10620 11145 13374 14860 15930 20061 22290 26748 31860 33435 40122 43837 44580 66870 80244 87674 100305 131511 133740 175348 200610 219185 263022 394533 401220 438370 526044 657555 789066 876740 1183599 1315110 1578132 1972665 2367198 2630220 3945330 4734396 5917995 7890660 11835990 23671980