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24530040 = 2334567113
BaseRepresentation
bin101110110010…
…0110001111000
31201011020220000
41131210301320
522234430130
62233433000
7415334103
oct135446170
951136800
1024530040
1112934867
12826b760
13510b322
14338773a
152248260
hex1764c78

24530040 has 160 divisors (see below), whose sum is σ = 84419280. Its totient is φ = 6386688.

The previous prime is 24529993. The next prime is 24530041. The reversal of 24530040 is 4003542.

It is a happy number.

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 = 24529995 and 24530022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24530041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 217024 + ... + 217136.

Almost surely, 224530040 is an apocalyptic number.

24530040 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 24530040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42209640).

24530040 is an abundant number, since it is smaller than the sum of its proper divisors (59889240).

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

24530040 is a wasteful number, since it uses less digits than its factorization.

24530040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 190 counting only the distinct ones).

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

The square root of 24530040 is about 4952.7810369529. The cubic root of 24530040 is about 290.5579429055.

Adding to 24530040 its reverse (4003542), we get a palindrome (28533582).

The spelling of 24530040 in words is "twenty-four million, five hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 67 72 81 90 108 113 120 134 135 162 180 201 216 226 268 270 324 335 339 360 402 405 452 536 540 565 603 648 670 678 804 810 904 1005 1017 1080 1130 1206 1340 1356 1608 1620 1695 1809 2010 2034 2260 2412 2680 2712 3015 3051 3240 3390 3618 4020 4068 4520 4824 5085 5427 6030 6102 6780 7236 7571 8040 8136 9045 9153 10170 10854 12060 12204 13560 14472 15142 15255 18090 18306 20340 21708 22713 24120 24408 27135 30284 30510 36180 36612 37855 40680 43416 45426 45765 54270 60568 61020 68139 72360 73224 75710 90852 91530 108540 113565 122040 136278 151420 181704 183060 204417 217080 227130 272556 302840 340695 366120 408834 454260 545112 613251 681390 817668 908520 1022085 1226502 1362780 1635336 2044170 2453004 2725560 3066255 4088340 4906008 6132510 8176680 12265020 24530040