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24968640 = 263531839
BaseRepresentation
bin101111100111…
…1110111000000
31201222112112110
41133033313000
522342444030
62251055320
7422141604
oct137176700
951875473
1024968640
1113104344
128441540
135232b58
14345d504
1522d31b0
hex17cfdc0

24968640 has 112 divisors (see below), whose sum is σ = 81930240. Its totient is φ = 6435840.

The previous prime is 24968621. The next prime is 24968653. The reversal of 24968640 is 4686942.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29341 + ... + 30179.

It is an arithmetic number, because the mean of its divisors is an integer number (731520).

Almost surely, 224968640 is an apocalyptic number.

24968640 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 24968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40965120).

24968640 is an abundant number, since it is smaller than the sum of its proper divisors (56961600).

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

24968640 is a wasteful number, since it uses less digits than its factorization.

24968640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 24968640 is about 4996.8630159331. The cubic root of 24968640 is about 292.2794597351.

The spelling of 24968640 in words is "twenty-four million, nine hundred sixty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 155 160 186 192 240 248 310 320 372 465 480 496 620 744 839 930 960 992 1240 1488 1678 1860 1984 2480 2517 2976 3356 3720 4195 4960 5034 5952 6712 7440 8390 9920 10068 12585 13424 14880 16780 20136 25170 26009 26848 29760 33560 40272 50340 52018 53696 67120 78027 80544 100680 104036 130045 134240 156054 161088 201360 208072 260090 268480 312108 390135 402720 416144 520180 624216 780270 805440 832288 1040360 1248432 1560540 1664576 2080720 2496864 3121080 4161440 4993728 6242160 8322880 12484320 24968640