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23966820 = 2233544383
BaseRepresentation
bin101101101101…
…1010001100100
31200002122022000
41123123101210
522113414240
62213405300
7410500053
oct133332144
950078260
1023966820
111258a699
128039830
134c71b67
14327c39a
152186430
hex16db464

23966820 has 48 divisors (see below), whose sum is σ = 74565120. Its totient is φ = 6391008.

The previous prime is 23966819. The next prime is 23966827. The reversal of 23966820 is 2866932.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (23966827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21652 + ... + 22731.

It is an arithmetic number, because the mean of its divisors is an integer number (1553440).

Almost surely, 223966820 is an apocalyptic number.

23966820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23966820 is an abundant number, since it is smaller than the sum of its proper divisors (50598300).

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

23966820 is a wasteful number, since it uses less digits than its factorization.

23966820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44401 (or 44393 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 23966820 is about 4895.5918947559. The cubic root of 23966820 is about 288.3169254216.

It can be divided in two parts, 2396 and 6820, that added together give a square (9216 = 962).

The spelling of 23966820 in words is "twenty-three million, nine hundred sixty-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 44383 88766 133149 177532 221915 266298 399447 443830 532596 665745 798894 887660 1198341 1331490 1597788 1997235 2396682 2662980 3994470 4793364 5991705 7988940 11983410 23966820