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23072016 = 24311371181
BaseRepresentation
bin101100000000…
…0110100010000
31121102011212010
41120000310100
521401301031
62142302520
7400052232
oct130006420
947364763
1023072016
1112029390
127887a40
134a1a7a6
1430c8252
15205b246
hex1600d10

23072016 has 80 divisors (see below), whose sum is σ = 66835008. Its totient is φ = 6796800.

The previous prime is 23072003. The next prime is 23072039. The reversal of 23072016 is 61027032.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 23071983 and 23072001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18946 + ... + 20126.

Almost surely, 223072016 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 23072016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33417504).

23072016 is an abundant number, since it is smaller than the sum of its proper divisors (43762992).

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

23072016 is a wasteful number, since it uses less digits than its factorization.

23072016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 23072016 is about 4803.3338422392. Note that the first 3 decimals coincide. The cubic root of 23072016 is about 284.6832060135.

Adding to 23072016 its reverse (61027032), we get a palindrome (84099048).

The spelling of 23072016 in words is "twenty-three million, seventy-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 66 74 88 111 132 148 176 222 264 296 407 444 528 592 814 888 1181 1221 1628 1776 2362 2442 3256 3543 4724 4884 6512 7086 9448 9768 12991 14172 18896 19536 25982 28344 38973 43697 51964 56688 77946 87394 103928 131091 155892 174788 207856 262182 311784 349576 480667 524364 623568 699152 961334 1048728 1442001 1922668 2097456 2884002 3845336 5768004 7690672 11536008 23072016