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23690368 = 271323619
BaseRepresentation
bin101101001011…
…1110010000000
31122120121002001
41122113302000
522031042433
62203433344
7405236062
oct132276200
948517061
1023690368
1112410a19
127b25854
134ba6090
143209732
15212e57d
hex1697c80

23690368 has 64 divisors (see below), whose sum is σ = 53121600. Its totient is φ = 10441728.

The previous prime is 23690351. The next prime is 23690371. The reversal of 23690368 is 86309632.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×236903682 = 1122467071950848, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 37963 + ... + 38581.

It is an arithmetic number, because the mean of its divisors is an integer number (830025).

Almost surely, 223690368 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 23690368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26560800).

23690368 is an abundant number, since it is smaller than the sum of its proper divisors (29431232).

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

23690368 is a wasteful number, since it uses less digits than its factorization.

23690368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The square root of 23690368 is about 4867.2752130941. The cubic root of 23690368 is about 287.2040781227.

The spelling of 23690368 in words is "twenty-three million, six hundred ninety thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 128 184 208 299 368 416 598 619 736 832 1196 1238 1472 1664 2392 2476 2944 4784 4952 8047 9568 9904 14237 16094 19136 19808 28474 32188 38272 39616 56948 64376 79232 113896 128752 185081 227792 257504 370162 455584 515008 740324 911168 1030016 1480648 1822336 2961296 5922592 11845184 23690368