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23929101 = 34726029
BaseRepresentation
bin101101101001…
…0000100001101
31200000201120000
41123102010031
522111212401
62212514513
7410252100
oct133220415
950021500
1023929101
1112564319
12801ba39
134c5a941
14326c737
15217a186
hex16d210d

23929101 has 30 divisors (see below), whose sum is σ = 41588910. Its totient is φ = 13671504.

The previous prime is 23929099. The next prime is 23929109. The reversal of 23929101 is 10192932.

It can be written as a sum of positive squares in only one way, i.e., 23532201 + 396900 = 4851^2 + 630^2 .

It is not a de Polignac number, because 23929101 - 21 = 23929099 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23929109) 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 29 ways as a sum of consecutive naturals, for example, 955 + ... + 6983.

It is an arithmetic number, because the mean of its divisors is an integer number (1386297).

Almost surely, 223929101 is an apocalyptic number.

23929101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

23929101 is a deficient number, since it is larger than the sum of its proper divisors (17659809).

23929101 is an equidigital number, since it uses as much as digits as its factorization.

23929101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6055 (or 6039 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 23929101 is about 4891.7380346866. The cubic root of 23929101 is about 288.1655948718.

The spelling of 23929101 in words is "twenty-three million, nine hundred twenty-nine thousand, one hundred one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 3969 6029 18087 42203 54261 126609 162783 295421 379827 488349 886263 1139481 2658789 3418443 7976367 23929101