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23935240 = 2357731171
BaseRepresentation
bin101101101001…
…1100100001000
31200001000222101
41123103210020
522111411430
62213003144
7410306020
oct133234410
950030871
1023935240
111256899a
1280234b4
134c60684
143270a80
15217bdca
hex16d3908

23935240 has 64 divisors (see below), whose sum is σ = 62444160. Its totient is φ = 8087040.

The previous prime is 23935229. The next prime is 23935253. The reversal of 23935240 is 4253932.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a plaindrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 23935199 and 23935208.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 19855 + ... + 21025.

It is an arithmetic number, because the mean of its divisors is an integer number (975690).

Almost surely, 223935240 is an apocalyptic number.

23935240 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 23935240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31222080).

23935240 is an abundant number, since it is smaller than the sum of its proper divisors (38508920).

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

23935240 is a wasteful number, since it uses less digits than its factorization.

23935240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 23935240 is about 4892.3654810327. The cubic root of 23935240 is about 288.1902356823.

The spelling of 23935240 in words is "twenty-three million, nine hundred thirty-five thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 73 140 146 280 292 365 511 584 730 1022 1171 1460 2044 2342 2555 2920 4088 4684 5110 5855 8197 9368 10220 11710 16394 20440 23420 32788 40985 46840 65576 81970 85483 163940 170966 327880 341932 427415 598381 683864 854830 1196762 1709660 2393524 2991905 3419320 4787048 5983810 11967620 23935240