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23960129 = 611013889
BaseRepresentation
bin101101101100…
…1101001000001
31200002022010012
41123121221001
522113211004
62213314305
7410441414
oct133315101
950068105
1023960129
1112585666
128035995
134c6babb
143279b7b
15218446e
hex16d9a41

23960129 has 8 divisors (see below), whose sum is σ = 24600360. Its totient is φ = 23328000.

The previous prime is 23960107. The next prime is 23960137. The reversal of 23960129 is 92106932.

It can be written as a sum of positive squares in 4 ways, for example, as 5513104 + 18447025 = 2348^2 + 4295^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-23960129 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 23960095 and 23960104.

It is not an unprimeable number, because it can be changed into a prime (23960149) 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, 4217 + ... + 8105.

It is an arithmetic number, because the mean of its divisors is an integer number (3075045).

Almost surely, 223960129 is an apocalyptic number.

It is an amenable number.

23960129 is a deficient number, since it is larger than the sum of its proper divisors (640231).

23960129 is a wasteful number, since it uses less digits than its factorization.

23960129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4051.

The product of its (nonzero) digits is 5832, while the sum is 32.

The square root of 23960129 is about 4894.9084771832. The cubic root of 23960129 is about 288.2900923791.

The spelling of 23960129 in words is "twenty-three million, nine hundred sixty thousand, one hundred twenty-nine".

Divisors: 1 61 101 3889 6161 237229 392789 23960129