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23840440 = 23513192127
BaseRepresentation
bin101101011110…
…0011010111000
31122212012221021
41122330122320
522100343230
62210552224
7406432441
oct132743270
948765837
1023840440
1112503748
127b98674
134c29490
1432482c8
15215dc7a
hex16bc6b8

23840440 has 96 divisors (see below), whose sum is σ = 61447680. Its totient is φ = 8273664.

The previous prime is 23840437. The next prime is 23840449. The reversal of 23840440 is 4404832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23840449) 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, 187657 + ... + 187783.

It is an arithmetic number, because the mean of its divisors is an integer number (640080).

Almost surely, 223840440 is an apocalyptic number.

23840440 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 23840440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30723840).

23840440 is an abundant number, since it is smaller than the sum of its proper divisors (37607240).

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

23840440 is a wasteful number, since it uses less digits than its factorization.

23840440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 23840440 is about 4882.6673038412. The cubic root of 23840440 is about 287.8092551260.

The spelling of 23840440 in words is "twenty-three million, eight hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 104 127 130 152 190 247 254 260 361 380 494 508 520 635 722 760 988 1016 1235 1270 1444 1651 1805 1976 2413 2470 2540 2888 3302 3610 4693 4826 4940 5080 6604 7220 8255 9386 9652 9880 12065 13208 14440 16510 18772 19304 23465 24130 31369 33020 37544 45847 46930 48260 62738 66040 91694 93860 96520 125476 156845 183388 187720 229235 250952 313690 366776 458470 596011 627380 916940 1192022 1254760 1833880 2384044 2980055 4768088 5960110 11920220 23840440