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24696980 = 22572112979
BaseRepresentation
bin101111000110…
…1100010010100
31201110201212222
41132031202110
522310300410
62241201512
7416630600
oct136154224
951421788
1024696980
1112a39230
128330298
1351692c9
1433cc500
15227c955
hex178d894

24696980 has 144 divisors (see below), whose sum is σ = 68947200. Its totient is φ = 7338240.

The previous prime is 24696977. The next prime is 24697003. The reversal of 24696980 is 8969642.

It is a super-2 number, since 2×246969802 = 1219881642240800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 312581 + ... + 312659.

It is an arithmetic number, because the mean of its divisors is an integer number (478800).

Almost surely, 224696980 is an apocalyptic number.

24696980 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 24696980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34473600).

24696980 is an abundant number, since it is smaller than the sum of its proper divisors (44250220).

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

24696980 is a wasteful number, since it uses less digits than its factorization.

24696980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 44.

The square root of 24696980 is about 4969.6056181552. The cubic root of 24696980 is about 291.2155871834.

It can be divided in two parts, 2469 and 6980, that added together give a palindrome (9449).

The spelling of 24696980 in words is "twenty-four million, six hundred ninety-six thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 29 35 44 49 55 58 70 77 79 98 110 116 140 145 154 158 196 203 220 245 290 308 316 319 385 395 406 490 539 553 580 638 770 790 812 869 980 1015 1078 1106 1276 1421 1540 1580 1595 1738 2030 2156 2212 2233 2291 2695 2765 2842 3190 3476 3871 4060 4345 4466 4582 5390 5530 5684 6083 6380 7105 7742 8690 8932 9164 10780 11060 11165 11455 12166 14210 15484 15631 16037 17380 19355 22330 22910 24332 25201 28420 30415 31262 32074 38710 42581 44660 45820 50402 60830 62524 64148 77420 78155 80185 85162 100804 112259 121660 126005 156310 160370 170324 176407 212905 224518 252010 312620 320740 352814 425810 449036 504020 561295 705628 851620 882035 1122590 1234849 1764070 2245180 2469698 3528140 4939396 6174245 12348490 24696980