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23956240 = 2457113889
BaseRepresentation
bin101101101100…
…0101100010000
31200002002210011
41123120230100
522113044430
62213244304
7410424160
oct133305420
950062704
1023956240
1112582750
128033694
134c6a0b9
1432785a0
15218322a
hex16d8b10

23956240 has 80 divisors (see below), whose sum is σ = 69459840. Its totient is φ = 7464960.

The previous prime is 23956237. The next prime is 23956241. The reversal of 23956240 is 4265932.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (23956241) 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 15 ways as a sum of consecutive naturals, for example, 4216 + ... + 8104.

It is an arithmetic number, because the mean of its divisors is an integer number (868248).

Almost surely, 223956240 is an apocalyptic number.

23956240 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 23956240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34729920).

23956240 is an abundant number, since it is smaller than the sum of its proper divisors (45503600).

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

23956240 is a wasteful number, since it uses less digits than its factorization.

23956240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3920 (or 3914 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 23956240 is about 4894.5112115512. The cubic root of 23956240 is about 288.2744939540.

The spelling of 23956240 in words is "twenty-three million, nine hundred fifty-six 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 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 3889 6160 7778 15556 19445 27223 31112 38890 42779 54446 62224 77780 85558 108892 136115 155560 171116 213895 217784 272230 299453 311120 342232 427790 435568 544460 598906 684464 855580 1088920 1197812 1497265 1711160 2177840 2395624 2994530 3422320 4791248 5989060 11978120 23956240