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23380880 = 2452397131
BaseRepresentation
bin101100100110…
…0001110010000
31121222212112112
41121030032100
521441142010
62153044452
7402506555
oct131141620
947885475
1023380880
111221a446
1279b6728
134ac8253
143168a2c
1520bca05
hex164c390

23380880 has 80 divisors (see below), whose sum is σ = 57746304. Its totient is φ = 8785920.

The previous prime is 23380879. The next prime is 23380921. The reversal of 23380880 is 8808332.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178415 + ... + 178545.

Almost surely, 223380880 is an apocalyptic number.

23380880 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 23380880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28873152).

23380880 is an abundant number, since it is smaller than the sum of its proper divisors (34365424).

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

23380880 is a wasteful number, since it uses less digits than its factorization.

23380880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 23380880 is about 4835.3779583400. The cubic root of 23380880 is about 285.9479260335.

The spelling of 23380880 in words is "twenty-three million, three hundred eighty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 97 115 131 184 194 230 262 368 388 460 485 524 655 776 920 970 1048 1310 1552 1840 1940 2096 2231 2620 3013 3880 4462 5240 6026 7760 8924 10480 11155 12052 12707 15065 17848 22310 24104 25414 30130 35696 44620 48208 50828 60260 63535 89240 101656 120520 127070 178480 203312 241040 254140 292261 508280 584522 1016560 1169044 1461305 2338088 2922610 4676176 5845220 11690440 23380880