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23123072 = 277131197
BaseRepresentation
bin101100000110…
…1010010000000
31121111202220002
41120031102000
521404414242
62143335132
7400354130
oct130152200
947452802
1023123072
1112063785
1278b14a8
134a37abb
1430dcac0
15206b432
hex160d480

23123072 has 64 divisors (see below), whose sum is σ = 53317440. Its totient is φ = 9784320.

The previous prime is 23123071. The next prime is 23123143. The reversal of 23123072 is 27032132.

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

It is not an unprimeable number, because it can be changed into a prime (23123071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117278 + ... + 117474.

It is an arithmetic number, because the mean of its divisors is an integer number (833085).

Almost surely, 223123072 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 23123072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26658720).

23123072 is an abundant number, since it is smaller than the sum of its proper divisors (30194368).

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

23123072 is a wasteful number, since it uses less digits than its factorization.

23123072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 23123072 is about 4808.6455473449. The cubic root of 23123072 is about 284.8930428652.

The spelling of 23123072 in words is "twenty-three million, one hundred twenty-three thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 131 197 224 262 394 448 524 788 896 917 1048 1379 1576 1834 2096 2758 3152 3668 4192 5516 6304 7336 8384 11032 12608 14672 16768 22064 25216 25807 29344 44128 51614 58688 88256 103228 117376 176512 180649 206456 361298 412912 722596 825824 1445192 1651648 2890384 3303296 5780768 11561536 23123072