Search a number
-
+
23789460 = 22351783281
BaseRepresentation
bin101101010111…
…1111110010100
31122202122000010
41122233332110
522042230320
62205520220
7406131012
oct132577624
948678003
1023789460
1112479412
127b73070
134c0c206
1432338b2
15214dae0
hex16aff94

23789460 has 96 divisors (see below), whose sum is σ = 71632512. Its totient is φ = 5877760.

The previous prime is 23789419. The next prime is 23789497. The reversal of 23789460 is 6498732.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84520 + ... + 84800.

It is an arithmetic number, because the mean of its divisors is an integer number (746172).

Almost surely, 223789460 is an apocalyptic number.

23789460 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 23789460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35816256).

23789460 is an abundant number, since it is smaller than the sum of its proper divisors (47843052).

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

23789460 is a wasteful number, since it uses less digits than its factorization.

23789460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 23789460 is about 4877.4440027539. Note that the first 3 decimals coincide. The cubic root of 23789460 is about 287.6039598831.

The spelling of 23789460 in words is "twenty-three million, seven hundred eighty-nine thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 83 85 102 166 170 204 249 255 281 332 340 415 498 510 562 830 843 996 1020 1124 1245 1405 1411 1660 1686 2490 2810 2822 3372 4215 4233 4777 4980 5620 5644 7055 8430 8466 9554 14110 14331 16860 16932 19108 21165 23323 23885 28220 28662 42330 46646 47770 57324 69969 71655 84660 93292 95540 116615 139938 143310 233230 279876 286620 349845 396491 466460 699690 792982 1189473 1399380 1585964 1982455 2378946 3964910 4757892 5947365 7929820 11894730 23789460