Search a number
-
+
24253020 = 22345111361
BaseRepresentation
bin101110010000…
…1001001011100
31200122011220000
41130201021130
522202044040
62223454300
7413101341
oct134411134
950564800
1024253020
1112765720
128157390
1350421cc
1433147c8
1521e1130
hex172125c

24253020 has 120 divisors (see below), whose sum is σ = 83060208. Its totient is φ = 5875200.

The previous prime is 24253013. The next prime is 24253037. The reversal of 24253020 is 2035242.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 24252984 and 24253002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17140 + ... + 18500.

Almost surely, 224253020 is an apocalyptic number.

24253020 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 24253020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41530104).

24253020 is an abundant number, since it is smaller than the sum of its proper divisors (58807188).

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

24253020 is a wasteful number, since it uses less digits than its factorization.

24253020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 24253020 is about 4924.7355258938. The cubic root of 24253020 is about 289.4600336785.

Adding to 24253020 its reverse (2035242), we get a palindrome (26288262).

It can be divided in two parts, 2425 and 3020, that added together give a palindrome (5445).

The spelling of 24253020 in words is "twenty-four million, two hundred fifty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 270 297 324 330 396 405 495 540 594 660 810 891 990 1188 1361 1485 1620 1782 1980 2722 2970 3564 4083 4455 5444 5940 6805 8166 8910 12249 13610 14971 16332 17820 20415 24498 27220 29942 36747 40830 44913 48996 59884 61245 73494 74855 81660 89826 110241 122490 134739 146988 149710 179652 183735 220482 224565 244980 269478 299420 367470 404217 440964 449130 538956 551205 673695 734940 808434 898260 1102410 1212651 1347390 1616868 2021085 2204820 2425302 2694780 4042170 4850604 6063255 8084340 12126510 24253020