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23247072 = 2532531523
BaseRepresentation
bin101100010101…
…1100011100000
31121202001222200
41120223203200
521422401242
62150133200
7401411502
oct130534340
947661880
1023247072
1112138962
127951200
134a7c384
143131d72
15209304c
hex162b8e0

23247072 has 72 divisors (see below), whose sum is σ = 67400424. Its totient is φ = 7597824.

The previous prime is 23247071. The next prime is 23247073. The reversal of 23247072 is 27074232.

It is an interprime number because it is at equal distance from previous prime (23247071) and next prime (23247073).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23247071) 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 11 ways as a sum of consecutive naturals, for example, 14503 + ... + 16025.

It is an arithmetic number, because the mean of its divisors is an integer number (936117).

Almost surely, 223247072 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 23247072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33700212).

23247072 is an abundant number, since it is smaller than the sum of its proper divisors (44153352).

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

23247072 is a wasteful number, since it uses less digits than its factorization.

23247072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 23247072 is about 4821.5217514805. The cubic root of 23247072 is about 285.4013919425.

The spelling of 23247072 in words is "twenty-three million, two hundred forty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 212 288 318 424 477 636 848 954 1272 1523 1696 1908 2544 3046 3816 4569 5088 6092 7632 9138 12184 13707 15264 18276 24368 27414 36552 48736 54828 73104 80719 109656 146208 161438 219312 242157 322876 438624 484314 645752 726471 968628 1291504 1452942 1937256 2583008 2905884 3874512 5811768 7749024 11623536 23247072