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24568020 = 22325413329
BaseRepresentation
bin101110110111…
…0000011010100
31201020011222200
41131232003110
522242134040
62234324500
7415552611
oct135560324
951204880
1024568020
1112960354
128289730
1351226b9
143397508
152254630
hex176e0d4

24568020 has 72 divisors (see below), whose sum is σ = 76363560. Its totient is φ = 6389760.

The previous prime is 24568003. The next prime is 24568051. The reversal of 24568020 is 2086542.

It can be written as a sum of positive squares in 4 ways, for example, as 6084 + 24561936 = 78^2 + 4956^2 .

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5716 + ... + 9044.

It is an arithmetic number, because the mean of its divisors is an integer number (1060605).

Almost surely, 224568020 is an apocalyptic number.

24568020 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 24568020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38181780).

24568020 is an abundant number, since it is smaller than the sum of its proper divisors (51795540).

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

24568020 is a wasteful number, since it uses less digits than its factorization.

24568020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3385 (or 3380 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 24568020 is about 4956.6137634478. The cubic root of 24568020 is about 290.7078230821.

It can be divided in two parts, 245 and 68020, that added together give a triangular number (68265 = T369).

The spelling of 24568020 in words is "twenty-four million, five hundred sixty-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3329 3690 6658 7380 9987 13316 16645 19974 29961 33290 39948 49935 59922 66580 99870 119844 136489 149805 199740 272978 299610 409467 545956 599220 682445 818934 1228401 1364890 1637868 2047335 2456802 2729780 4094670 4913604 6142005 8189340 12284010 24568020