Search a number
-
+
23707134 = 23311107373
BaseRepresentation
bin101101001101…
…1110111111110
31122121110002000
41122123313332
522032112014
62204043130
7405336003
oct132336776
948543060
1023707134
1112422580
127b334a6
134bb08b9
1432118aa
152134509
hex169bdfe

23707134 has 64 divisors (see below), whose sum is σ = 58164480. Its totient is φ = 7097760.

The previous prime is 23707133. The next prime is 23707139. The reversal of 23707134 is 43170732.

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

It is a junction number, because it is equal to n+sod(n) for n = 23707098 and 23707107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23707133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63372 + ... + 63744.

It is an arithmetic number, because the mean of its divisors is an integer number (908820).

Almost surely, 223707134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23707134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29082240).

23707134 is an abundant number, since it is smaller than the sum of its proper divisors (34457346).

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

23707134 is a wasteful number, since it uses less digits than its factorization.

23707134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 23707134 is about 4868.9972273560. The cubic root of 23707134 is about 287.2718149075.

Adding to 23707134 its sum of digits (27), we get a square (23707161 = 48692).

Adding to 23707134 its reverse (43170732), we get a palindrome (66877866).

The spelling of 23707134 in words is "twenty-three million, seven hundred seven thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 107 198 214 297 321 373 594 642 746 963 1119 1177 1926 2238 2354 2889 3357 3531 4103 5778 6714 7062 8206 10071 10593 12309 20142 21186 24618 31779 36927 39911 63558 73854 79822 110781 119733 221562 239466 359199 439021 718398 878042 1077597 1317063 2155194 2634126 3951189 7902378 11853567 23707134