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247042320 = 2435733001
BaseRepresentation
bin11101011100110…
…01000100010000
3122012212001100120
432232121010100
51001220323240
640302550240
76056553000
oct1656310420
9565761316
10247042320
111174a3608
126a898380
133c2483b5
1424b4a000
1516a4cad0
hexeb99110

247042320 has 160 divisors (see below), whose sum is σ = 893395200. Its totient is φ = 56448000.

The previous prime is 247042319. The next prime is 247042339. The reversal of 247042320 is 23240742.

247042320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2470423202 = 122059815741964800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80820 + ... + 83820.

It is an arithmetic number, because the mean of its divisors is an integer number (5583720).

Almost surely, 2247042320 is an apocalyptic number.

247042320 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 247042320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446697600).

247042320 is an abundant number, since it is smaller than the sum of its proper divisors (646352880).

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

247042320 is a wasteful number, since it uses less digits than its factorization.

247042320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3038 (or 3018 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 247042320 is about 15717.5799663943. The cubic root of 247042320 is about 627.4663675143.

The spelling of 247042320 in words is "two hundred forty-seven million, forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 343 392 420 490 560 588 686 735 784 840 980 1029 1176 1372 1470 1680 1715 1960 2058 2352 2744 2940 3001 3430 3920 4116 5145 5488 5880 6002 6860 8232 9003 10290 11760 12004 13720 15005 16464 18006 20580 21007 24008 27440 30010 36012 41160 42014 45015 48016 60020 63021 72024 82320 84028 90030 105035 120040 126042 144048 147049 168056 180060 210070 240080 252084 294098 315105 336112 360120 420140 441147 504168 588196 630210 720240 735245 840280 882294 1008336 1029343 1176392 1260420 1470490 1680560 1764588 2058686 2205735 2352784 2520840 2940980 3088029 3529176 4117372 4411470 5041680 5146715 5881960 6176058 7058352 8234744 8822940 10293430 11763920 12352116 15440145 16469488 17645880 20586860 24704232 30880290 35291760 41173720 49408464 61760580 82347440 123521160 247042320