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23323680 = 253355399
BaseRepresentation
bin101100011111…
…0010000100000
31121212222002000
41120332100200
521432324210
62151524000
7402151032
oct130762040
947788060
1023323680
1112190476
127989600
134aa81c3
143151c52
1520aaac0
hex163e420

23323680 has 96 divisors (see below), whose sum is σ = 81648000. Its totient is φ = 6218496.

The previous prime is 23323667. The next prime is 23323681. The reversal of 23323680 is 8632332.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (23323681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1621 + ... + 7019.

It is an arithmetic number, because the mean of its divisors is an integer number (850500).

Almost surely, 223323680 is an apocalyptic number.

23323680 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 23323680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40824000).

23323680 is an abundant number, since it is smaller than the sum of its proper divisors (58324320).

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

23323680 is a wasteful number, since it uses less digits than its factorization.

23323680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5423 (or 5409 counting only the distinct ones).

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

The square root of 23323680 is about 4829.4595970978. The cubic root of 23323680 is about 285.7145504759.

The spelling of 23323680 in words is "twenty-three million, three hundred twenty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 5399 10798 16197 21596 26995 32394 43192 48591 53990 64788 80985 86384 97182 107980 129576 145773 161970 172768 194364 215960 242955 259152 291546 323940 388728 431920 485910 518304 583092 647880 728865 777456 863840 971820 1166184 1295760 1457730 1554912 1943640 2332368 2591520 2915460 3887280 4664736 5830920 7774560 11661840 23323680