Search a number
-
+
23789920 = 2557111931
BaseRepresentation
bin101101011000…
…0000101100000
31122202122122011
41122300011200
522042234140
62205522304
7406132240
oct132600540
948678564
1023789920
11124797a0
127b73394
134c0c49b
143233b20
15214dcea
hex16b0160

23789920 has 96 divisors (see below), whose sum is σ = 70108416. Its totient is φ = 7411200.

The previous prime is 23789903. The next prime is 23789923. The reversal of 23789920 is 2998732.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23789923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11355 + ... + 13285.

It is an arithmetic number, because the mean of its divisors is an integer number (730296).

Almost surely, 223789920 is an apocalyptic number.

23789920 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 23789920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35054208).

23789920 is an abundant number, since it is smaller than the sum of its proper divisors (46318496).

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

23789920 is a wasteful number, since it uses less digits than its factorization.

23789920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964 (or 1956 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 23789920 is about 4877.4911583723. The cubic root of 23789920 is about 287.6058136028.

The spelling of 23789920 in words is "twenty-three million, seven hundred eighty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 140 154 160 176 220 224 280 308 352 385 440 560 616 770 880 1120 1232 1540 1760 1931 2464 3080 3862 6160 7724 9655 12320 13517 15448 19310 21241 27034 30896 38620 42482 54068 61792 67585 77240 84964 106205 108136 135170 148687 154480 169928 212410 216272 270340 297374 308960 339856 424820 432544 540680 594748 679712 743435 849640 1081360 1189496 1486870 1699280 2162720 2378992 2973740 3398560 4757984 5947480 11894960 23789920