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23072127 = 3133759271
BaseRepresentation
bin101100000000…
…0110101111111
31121102012000020
41120000311333
521401302002
62142303223
7400052451
oct130006577
947365006
1023072127
1112029481
127887b13
134a1a860
1430c82d1
15205b2bc
hex1600d7f

23072127 has 32 divisors (see below), whose sum is σ = 34728960. Its totient is φ = 13530240.

The previous prime is 23072117. The next prime is 23072131. The reversal of 23072127 is 72127032.

It is not a de Polignac number, because 23072127 - 27 = 23071999 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 23072097 and 23072106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23072117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85002 + ... + 85272.

It is an arithmetic number, because the mean of its divisors is an integer number (1085280).

Almost surely, 223072127 is an apocalyptic number.

23072127 is a deficient number, since it is larger than the sum of its proper divisors (11656833).

23072127 is a wasteful number, since it uses less digits than its factorization.

23072127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383.

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 23072127 is about 4803.3453967001. The cubic root of 23072127 is about 284.6836625519.

Adding to 23072127 its reverse (72127032), we get a palindrome (95199159).

The spelling of 23072127 in words is "twenty-three million, seventy-two thousand, one hundred twenty-seven".

Divisors: 1 3 13 37 39 59 111 177 271 481 767 813 1443 2183 2301 3523 6549 10027 10569 15989 28379 30081 47967 85137 130351 207857 391053 591593 623571 1774779 7690709 23072127