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23986240 = 265233259
BaseRepresentation
bin101101110000…
…0000001000000
31200010121221021
41123200001000
522120024430
62214035224
7410610505
oct133400100
950117837
1023986240
11125a3243
128048b14
134c7a955
1432854ac
15218c07a
hex16e0040

23986240 has 56 divisors (see below), whose sum is σ = 59618880. Its totient is φ = 9174528.

The previous prime is 23986229. The next prime is 23986247. The reversal of 23986240 is 4268932.

It is a junction number, because it is equal to n+sod(n) for n = 23986196 and 23986205.

It is not an unprimeable number, because it can be changed into a prime (23986247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5731 + ... + 8989.

Almost surely, 223986240 is an apocalyptic number.

23986240 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 23986240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29809440).

23986240 is an abundant number, since it is smaller than the sum of its proper divisors (35632640).

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

23986240 is a wasteful number, since it uses less digits than its factorization.

23986240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3299 (or 3289 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 23986240 is about 4897.5749100958. The cubic root of 23986240 is about 288.3947775394.

The spelling of 23986240 in words is "twenty-three million, nine hundred eighty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 230 320 368 460 736 920 1472 1840 3259 3680 6518 7360 13036 16295 26072 32590 52144 65180 74957 104288 130360 149914 208576 260720 299828 374785 521440 599656 749570 1042880 1199312 1499140 2398624 2998280 4797248 5996560 11993120 23986240