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23246640 = 2432583389
BaseRepresentation
bin101100010101…
…1011100110000
31121202001101200
41120223130300
521422343030
62150131200
7401410314
oct130533460
947661350
1023246640
11121385aa
127950b00
134a7c111
143131b44
152092d60
hex162b730

23246640 has 120 divisors (see below), whose sum is σ = 79213680. Its totient is φ = 6108672.

The previous prime is 23246627. The next prime is 23246647. The reversal of 23246640 is 4664232.

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 (23246647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59566 + ... + 59954.

It is an arithmetic number, because the mean of its divisors is an integer number (660114).

Almost surely, 223246640 is an apocalyptic number.

23246640 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 23246640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39606840).

23246640 is an abundant number, since it is smaller than the sum of its proper divisors (55967040).

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

23246640 is a wasteful number, since it uses less digits than its factorization.

23246640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 23246640 is about 4821.4769521382. The cubic root of 23246640 is about 285.3996240616.

The spelling of 23246640 in words is "twenty-three million, two hundred forty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 83 90 120 144 166 180 240 249 332 360 389 415 498 664 720 747 778 830 996 1167 1245 1328 1494 1556 1660 1945 1992 2334 2490 2988 3112 3320 3501 3735 3890 3984 4668 4980 5835 5976 6224 6640 7002 7470 7780 9336 9960 11670 11952 14004 14940 15560 17505 18672 19920 23340 28008 29880 31120 32287 35010 46680 56016 59760 64574 70020 93360 96861 129148 140040 161435 193722 258296 280080 290583 322870 387444 484305 516592 581166 645740 774888 968610 1162332 1291480 1452915 1549776 1937220 2324664 2582960 2905830 3874440 4649328 5811660 7748880 11623320 23246640