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23006016 = 2632113631
BaseRepresentation
bin101011111000…
…0101101000000
31121021211022200
41113300231000
521342143031
62141033200
7366355635
oct127605500
947254280
1023006016
1111a93840
127855800
1349c6737
1430ac18c
1520468e6
hex15f0b40

23006016 has 84 divisors (see below), whose sum is σ = 71957184. Its totient is φ = 6969600.

The previous prime is 23005993. The next prime is 23006021. The reversal of 23006016 is 61060032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 23006016.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 4521 + ... + 8151.

Almost surely, 223006016 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 23006016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35978592).

23006016 is an abundant number, since it is smaller than the sum of its proper divisors (48951168).

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

23006016 is a wasteful number, since it uses less digits than its factorization.

23006016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3660 (or 3647 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 23006016 is about 4796.4586936614. The cubic root of 23006016 is about 284.4114910464.

Adding to 23006016 its reverse (61060032), we get a palindrome (84066048).

The spelling of 23006016 in words is "twenty-three million, six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 3631 6336 7262 10893 14524 21786 29048 32679 39941 43572 58096 65358 79882 87144 116192 119823 130716 159764 174288 232384 239646 261432 319528 348576 359469 479292 522864 639056 697152 718938 958584 1045728 1278112 1437876 1917168 2091456 2556224 2875752 3834336 5751504 7668672 11503008 23006016