Search a number
-
+
23679972 = 2233239533
BaseRepresentation
bin101101001010…
…1001111100100
31122120001211000
41122111033210
522030224342
62203313300
7405163551
oct132251744
948501730
1023679972
1112404128
127b1b830
134ba1424
143205a28
15212b44c
hex16953e4

23679972 has 48 divisors (see below), whose sum is σ = 64068480. Its totient is φ = 7549344.

The previous prime is 23679917. The next prime is 23679973. The reversal of 23679972 is 27997632.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (23679973) 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 15 ways as a sum of consecutive naturals, for example, 2283 + ... + 7250.

It is an arithmetic number, because the mean of its divisors is an integer number (1334760).

Almost surely, 223679972 is an apocalyptic number.

It is an amenable number.

23679972 is an abundant number, since it is smaller than the sum of its proper divisors (40388508).

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

23679972 is a wasteful number, since it uses less digits than its factorization.

23679972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9569 (or 9561 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The square root of 23679972 is about 4866.2071472554. The cubic root of 23679972 is about 287.1620608994.

It can be divided in two parts, 236 and 79972, that added together give a palindrome (80208).

The spelling of 23679972 in words is "twenty-three million, six hundred seventy-nine thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 828 1242 2484 9533 19066 28599 38132 57198 85797 114396 171594 219259 257391 343188 438518 514782 657777 877036 1029564 1315554 1973331 2631108 3946662 5919993 7893324 11839986 23679972