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24149070 = 23351147173
BaseRepresentation
bin101110000011…
…1110001001110
31200102220022000
41130013301032
522140232240
62221333130
7412156311
oct134076116
950386260
1024149070
11126a4610
1281071a6
135006aba
1432c8978
1521c0430
hex1707c4e

24149070 has 128 divisors (see below), whose sum is σ = 72161280. Its totient is φ = 5696640.

The previous prime is 24149051. The next prime is 24149077. The reversal of 24149070 is 7094142.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24149077) 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 63 ways as a sum of consecutive naturals, for example, 139504 + ... + 139676.

It is an arithmetic number, because the mean of its divisors is an integer number (563760).

Almost surely, 224149070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24149070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36080640).

24149070 is an abundant number, since it is smaller than the sum of its proper divisors (48012210).

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

24149070 is a wasteful number, since it uses less digits than its factorization.

24149070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 24149070 is about 4914.1703267184. The cubic root of 24149070 is about 289.0458933435.

The spelling of 24149070 in words is "twenty-four million, one hundred forty-nine thousand, seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 47 54 55 66 90 94 99 110 135 141 165 173 198 235 270 282 297 330 346 423 470 495 517 519 594 705 846 865 990 1034 1038 1269 1410 1485 1551 1557 1730 1903 2115 2538 2585 2595 2970 3102 3114 3806 4230 4653 4671 5170 5190 5709 6345 7755 7785 8131 9306 9342 9515 11418 12690 13959 15510 15570 16262 17127 19030 23265 23355 24393 27918 28545 34254 40655 46530 46710 48786 51381 57090 69795 73179 81310 85635 89441 102762 121965 139590 146358 171270 178882 219537 243930 256905 268323 365895 439074 447205 513810 536646 731790 804969 894410 1097685 1341615 1609938 2195370 2414907 2683230 4024845 4829814 8049690 12074535 24149070