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23323920 = 2435157619
BaseRepresentation
bin101100011111…
…0010100010000
31121212222101220
41120332110100
521432331140
62151525040
7402151524
oct130762420
947788356
1023323920
1112190674
127989780
134aa8349
143151d84
1520aabd0
hex163e510

23323920 has 80 divisors (see below), whose sum is σ = 72882240. Its totient is φ = 6170112.

The previous prime is 23323919. The next prime is 23323933. The reversal of 23323920 is 2932332.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 37371 + ... + 37989.

It is an arithmetic number, because the mean of its divisors is an integer number (911028).

Almost surely, 223323920 is an apocalyptic number.

23323920 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 23323920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36441120).

23323920 is an abundant number, since it is smaller than the sum of its proper divisors (49558320).

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

23323920 is a wasteful number, since it uses less digits than its factorization.

23323920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 23323920 is about 4829.4844445344. The cubic root of 23323920 is about 285.7155304708.

The spelling of 23323920 in words is "twenty-three million, three hundred twenty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 157 240 314 471 619 628 785 942 1238 1256 1570 1857 1884 2355 2476 2512 3095 3140 3714 3768 4710 4952 6190 6280 7428 7536 9285 9420 9904 12380 12560 14856 18570 18840 24760 29712 37140 37680 49520 74280 97183 148560 194366 291549 388732 485915 583098 777464 971830 1166196 1457745 1554928 1943660 2332392 2915490 3887320 4664784 5830980 7774640 11661960 23323920