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23308880 = 2457107389
BaseRepresentation
bin101100011101…
…0101001010000
31121212012202212
41120322221100
521431341010
62151331252
7402056630
oct130725120
947765685
1023308880
1112180341
127980b28
134aa154a
14314a6c0
1520a6505
hex163aa50

23308880 has 80 divisors (see below), whose sum is σ = 62674560. Its totient is φ = 7896576.

The previous prime is 23308847. The next prime is 23308889. The reversal of 23308880 is 8880332.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23308889) by changing a digit.

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, 59726 + ... + 60114.

It is an arithmetic number, because the mean of its divisors is an integer number (783432).

Almost surely, 223308880 is an apocalyptic number.

23308880 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 23308880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31337280).

23308880 is an abundant number, since it is smaller than the sum of its proper divisors (39365680).

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

23308880 is a wasteful number, since it uses less digits than its factorization.

23308880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 510 counting only the distinct ones).

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

The square root of 23308880 is about 4827.9270914130. The cubic root of 23308880 is about 285.6541044675.

The spelling of 23308880 in words is "twenty-three million, three hundred eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 107 112 140 214 280 389 428 535 560 749 778 856 1070 1498 1556 1712 1945 2140 2723 2996 3112 3745 3890 4280 5446 5992 6224 7490 7780 8560 10892 11984 13615 14980 15560 21784 27230 29960 31120 41623 43568 54460 59920 83246 108920 166492 208115 217840 291361 332984 416230 582722 665968 832460 1165444 1456805 1664920 2330888 2913610 3329840 4661776 5827220 11654440 23308880