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23648240 = 2457112349
BaseRepresentation
bin101101000110…
…1011111110000
31122111110021202
41122031133300
522023220430
62202510332
7405002210
oct132153760
948443252
1023648240
1112392300
127b053a8
134b8cb55
1431d8240
152121d45
hex168d7f0

23648240 has 120 divisors (see below), whose sum is σ = 69266400. Its totient is φ = 7349760.

The previous prime is 23648231. The next prime is 23648243. The reversal of 23648240 is 4284632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23648243) 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, 67586 + ... + 67934.

It is an arithmetic number, because the mean of its divisors is an integer number (577220).

Almost surely, 223648240 is an apocalyptic number.

23648240 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 23648240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34633200).

23648240 is an abundant number, since it is smaller than the sum of its proper divisors (45618160).

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

23648240 is a wasteful number, since it uses less digits than its factorization.

23648240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 23648240 is about 4862.9456094018. The cubic root of 23648240 is about 287.0337344556.

The spelling of 23648240 in words is "twenty-three million, six hundred forty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 121 140 154 176 220 242 280 308 349 385 440 484 560 605 616 698 770 847 880 968 1210 1232 1396 1540 1694 1745 1936 2420 2443 2792 3080 3388 3490 3839 4235 4840 4886 5584 6160 6776 6980 7678 8470 9680 9772 12215 13552 13960 15356 16940 19195 19544 24430 26873 27920 30712 33880 38390 39088 42229 48860 53746 61424 67760 76780 84458 97720 107492 134365 153560 168916 195440 211145 214984 268730 295603 307120 337832 422290 429968 537460 591206 675664 844580 1074920 1182412 1478015 1689160 2149840 2364824 2956030 3378320 4729648 5912060 11824120 23648240