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23132057 = 132936073
BaseRepresentation
bin101100000111…
…1011110011001
31121112020012212
41120033132121
521410211212
62143444505
7400422254
oct130173631
947466185
1023132057
111206a503
1278b6735
134a3bc10
14310209b
15206de22
hex160f799

23132057 has 8 divisors (see below), whose sum is σ = 25000584. Its totient is φ = 21276288.

The previous prime is 23132041. The next prime is 23132099. The reversal of 23132057 is 75023132.

It can be written as a sum of positive squares in 4 ways, for example, as 9853321 + 13278736 = 3139^2 + 3644^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 23132057 - 24 = 23132041 is a prime.

It is a super-3 number, since 3×231320573 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23131057) 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, 773 + ... + 6845.

It is an arithmetic number, because the mean of its divisors is an integer number (3125073).

Almost surely, 223132057 is an apocalyptic number.

It is an amenable number.

23132057 is a deficient number, since it is larger than the sum of its proper divisors (1868527).

23132057 is a wasteful number, since it uses less digits than its factorization.

23132057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6379.

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 23132057 is about 4809.5797113677. The cubic root of 23132057 is about 284.9299386621.

Adding to 23132057 its reverse (75023132), we get a palindrome (98155189).

The spelling of 23132057 in words is "twenty-three million, one hundred thirty-two thousand, fifty-seven".

Divisors: 1 13 293 3809 6073 78949 1779389 23132057