Search a number
-
+
23672313 = 3271723312
BaseRepresentation
bin101101001001…
…1010111111001
31122112200022100
41122103113321
522030003223
62203214013
7405132330
oct132232771
948480270
1023672313
11123a93a5
127b17309
134b9aab2
143202d17
152129043
hex16935f9

23672313 has 72 divisors (see below), whose sum is σ = 44613504. Its totient is φ = 11784960.

The previous prime is 23672287. The next prime is 23672329. The reversal of 23672313 is 31327632.

It is not a de Polignac number, because 23672313 - 25 = 23672281 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.

Its product of digits (4536) is a multiple of the sum of its prime divisors (81).

It is not an unprimeable number, because it can be changed into a prime (23672333) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 763608 + ... + 763638.

It is an arithmetic number, because the mean of its divisors is an integer number (619632).

Almost surely, 223672313 is an apocalyptic number.

23672313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

23672313 is a deficient number, since it is larger than the sum of its proper divisors (20941191).

23672313 is a wasteful number, since it uses less digits than its factorization.

23672313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 81 counting only the distinct ones).

The product of its digits is 4536, while the sum is 27.

The square root of 23672313 is about 4865.4201257445. The cubic root of 23672313 is about 287.1310978647.

Adding to 23672313 its reverse (31327632), we get a palindrome (54999945).

The spelling of 23672313 in words is "twenty-three million, six hundred seventy-two thousand, three hundred thirteen".

Divisors: 1 3 7 9 17 21 23 31 51 63 69 93 119 153 161 207 217 279 357 391 483 527 651 713 961 1071 1173 1449 1581 1953 2139 2737 2883 3519 3689 4743 4991 6417 6727 8211 8649 11067 12121 14973 16337 20181 22103 24633 33201 36363 44919 49011 60543 66309 84847 109089 114359 147033 154721 198927 254541 343077 375751 464163 763623 1029231 1127253 1392489 2630257 3381759 7890771 23672313