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23705055 = 3451117313
BaseRepresentation
bin101101001101…
…1010111011111
31122121100020000
41122123113133
522032030210
62204025343
7405326643
oct132332737
948540200
1023705055
1112420a60
127b32253
134bac97a
143210c23
152133ac0
hex169b5df

23705055 has 80 divisors (see below), whose sum is σ = 49240224. Its totient is φ = 10782720.

The previous prime is 23705053. The next prime is 23705057. The reversal of 23705055 is 55050732.

23705055 is a nontrivial binomial coefficient, being equal to C(6886, 2).

It is an interprime number because it is at equal distance from previous prime (23705053) and next prime (23705057).

It is not a de Polignac number, because 23705055 - 21 = 23705053 is a prime.

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 (23705053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 75579 + ... + 75891.

Almost surely, 223705055 is an apocalyptic number.

23705055 is the 6885-th triangular number and also the 3443-rd hexagonal number.

23705055 is an abundant number, since it is smaller than the sum of its proper divisors (25535169).

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

23705055 is a wasteful number, since it uses less digits than its factorization.

23705055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 27.

The square root of 23705055 is about 4868.7837290231. The cubic root of 23705055 is about 287.2634172165.

Adding to 23705055 its reverse (55050732), we get a palindrome (78755787).

It can be divided in two parts, 23 and 705055, that added together give a triangular number (705078 = T1187).

The spelling of 23705055 in words is "twenty-three million, seven hundred five thousand, fifty-five".

Divisors: 1 3 5 9 11 15 17 27 33 45 51 55 81 85 99 135 153 165 187 255 297 313 405 459 495 561 765 891 935 939 1377 1485 1565 1683 2295 2805 2817 3443 4455 4695 5049 5321 6885 8415 8451 10329 14085 15147 15963 17215 25245 25353 26605 30987 42255 47889 51645 58531 75735 79815 92961 126765 143667 154935 175593 239445 278883 292655 431001 464805 526779 718335 877965 1394415 1580337 2155005 2633895 4741011 7901685 23705055