Search a number
-
+
24904740 = 22357243197
BaseRepresentation
bin101111100000…
…0010000100100
31201212021212210
41133000100210
522333422430
62245443420
7421454400
oct137002044
951767783
1024904740
1113070333
128410570
13520ca43
143444100
1522be2b0
hex17c0424

24904740 has 144 divisors (see below), whose sum is σ = 83426112. Its totient is φ = 5531904.

The previous prime is 24904739. The next prime is 24904751. The reversal of 24904740 is 4740942.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 24904698 and 24904707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126322 + ... + 126518.

It is an arithmetic number, because the mean of its divisors is an integer number (579348).

Almost surely, 224904740 is an apocalyptic number.

24904740 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 24904740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41713056).

24904740 is an abundant number, since it is smaller than the sum of its proper divisors (58521372).

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

24904740 is a wasteful number, since it uses less digits than its factorization.

24904740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 24904740 is about 4990.4649082024. The cubic root of 24904740 is about 292.0299118667.

The spelling of 24904740 in words is "twenty-four million, nine hundred four thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 43 49 60 70 84 86 98 105 129 140 147 172 196 197 210 215 245 258 294 301 394 420 430 490 516 588 591 602 645 735 788 860 903 980 985 1182 1204 1290 1379 1470 1505 1806 1970 2107 2364 2580 2758 2940 2955 3010 3612 3940 4137 4214 4515 5516 5910 6020 6321 6895 8274 8428 8471 9030 9653 10535 11820 12642 13790 16548 16942 18060 19306 20685 21070 25284 25413 27580 28959 31605 33884 38612 41370 42140 42355 48265 50826 57918 59297 63210 82740 84710 96530 101652 115836 118594 126420 127065 144795 169420 177891 193060 237188 254130 289590 296485 355782 415079 508260 579180 592970 711564 830158 889455 1185940 1245237 1660316 1778910 2075395 2490474 3557820 4150790 4980948 6226185 8301580 12452370 24904740