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23242080 = 2535411181
BaseRepresentation
bin101100010101…
…0010101100000
31121201211010210
41120222111200
521422221310
62150054120
7401361111
oct130522540
947654123
1023242080
1112135134
12794a340
134a7a014
143130208
152091820
hex162a560

23242080 has 96 divisors (see below), whose sum is σ = 75061728. Its totient is φ = 6041600.

The previous prime is 23242069. The next prime is 23242081. The reversal of 23242080 is 8024232.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23242081) 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, 19090 + ... + 20270.

It is an arithmetic number, because the mean of its divisors is an integer number (781893).

Almost surely, 223242080 is an apocalyptic number.

23242080 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 23242080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37530864).

23242080 is an abundant number, since it is smaller than the sum of its proper divisors (51819648).

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

23242080 is a wasteful number, since it uses less digits than its factorization.

23242080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 23242080 is about 4821.0040448023. The cubic root of 23242080 is about 285.3809617604.

The spelling of 23242080 in words is "twenty-three million, two hundred forty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 80 82 96 120 123 160 164 205 240 246 328 410 480 492 615 656 820 984 1181 1230 1312 1640 1968 2362 2460 3280 3543 3936 4724 4920 5905 6560 7086 9448 9840 11810 14172 17715 18896 19680 23620 28344 35430 37792 47240 48421 56688 70860 94480 96842 113376 141720 145263 188960 193684 242105 283440 290526 387368 484210 566880 581052 726315 774736 968420 1162104 1452630 1549472 1936840 2324208 2905260 3873680 4648416 5810520 7747360 11621040 23242080