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23768088 = 23319471109
BaseRepresentation
bin101101010101…
…0110000011000
31122201112200120
41122222300120
522041034323
62205233240
7406011501
oct132526030
948645616
1023768088
1112464353
127b62820
134c02576
143229ba8
1521475e3
hex16aac18

23768088 has 64 divisors (see below), whose sum is σ = 63936000. Its totient is φ = 7339392.

The previous prime is 23768083. The next prime is 23768089. The reversal of 23768088 is 88086732.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23768083) 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, 20878 + ... + 21986.

It is an arithmetic number, because the mean of its divisors is an integer number (999000).

Almost surely, 223768088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23768088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31968000).

23768088 is an abundant number, since it is smaller than the sum of its proper divisors (40167912).

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

23768088 is a wasteful number, since it uses less digits than its factorization.

23768088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 23768088 is about 4875.2526088399. The cubic root of 23768088 is about 287.5178080967.

The spelling of 23768088 in words is "twenty-three million, seven hundred sixty-eight thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 47 57 76 94 114 141 152 188 228 282 376 456 564 893 1109 1128 1786 2218 2679 3327 3572 4436 5358 6654 7144 8872 10716 13308 21071 21432 26616 42142 52123 63213 84284 104246 126426 156369 168568 208492 252852 312738 416984 505704 625476 990337 1250952 1980674 2971011 3961348 5942022 7922696 11884044 23768088