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23443920 = 2432532561
BaseRepresentation
bin101100101101…
…1100111010000
31122010002000100
41121123213100
522000201140
62154252400
7403161423
oct131334720
948102010
1023443920
1112262845
127a27100
134b1ab56
1431839ba
1520d1530
hex165b9d0

23443920 has 60 divisors (see below), whose sum is σ = 78734916. Its totient is φ = 6251520.

The previous prime is 23443907. The next prime is 23443921. The reversal of 23443920 is 2934432.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 13483584 + 9960336 = 3672^2 + 3156^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23443921) 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 11 ways as a sum of consecutive naturals, for example, 15561 + ... + 17000.

Almost surely, 223443920 is an apocalyptic number.

23443920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23443920 is an abundant number, since it is smaller than the sum of its proper divisors (55290996).

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

23443920 is a wasteful number, since it uses less digits than its factorization.

23443920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32580 (or 32571 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 23443920 is about 4841.8921921084. The cubic root of 23443920 is about 286.2046882633.

The spelling of 23443920 in words is "twenty-three million, four hundred forty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 32561 65122 97683 130244 162805 195366 260488 293049 325610 390732 488415 520976 586098 651220 781464 976830 1172196 1302440 1465245 1562928 1953660 2344392 2604880 2930490 3907320 4688784 5860980 7814640 11721960 23443920