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4668720 = 243572397
BaseRepresentation
bin10001110011110100110000
322210012021120
4101303310300
52143344340
6244022240
754453300
oct21636460
98705246
104668720
1126a9751
121691980
13c76074
14897600
156234d0
hex473d30

4668720 has 120 divisors (see below), whose sum is σ = 16878384. Its totient is φ = 1064448.

The previous prime is 4668691. The next prime is 4668721. The reversal of 4668720 is 278664.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (4668721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11562 + ... + 11958.

Almost surely, 24668720 is an apocalyptic number.

4668720 is a gapful number since it is divisible by the number (40) 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 4668720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8439192).

4668720 is an abundant number, since it is smaller than the sum of its proper divisors (12209664).

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

4668720 is a wasteful number, since it uses less digits than its factorization.

4668720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 4668720 is about 2160.7221015207. The cubic root of 4668720 is about 167.1344370282.

The spelling of 4668720 in words is "four million, six hundred sixty-eight thousand, seven 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 98 105 112 120 140 147 168 196 210 240 245 280 294 336 392 397 420 490 560 588 735 784 794 840 980 1176 1191 1470 1588 1680 1960 1985 2352 2382 2779 2940 3176 3920 3970 4764 5558 5880 5955 6352 7940 8337 9528 11116 11760 11910 13895 15880 16674 19056 19453 22232 23820 27790 31760 33348 38906 41685 44464 47640 55580 58359 66696 77812 83370 95280 97265 111160 116718 133392 155624 166740 194530 222320 233436 291795 311248 333480 389060 466872 583590 666960 778120 933744 1167180 1556240 2334360 4668720