Search a number
-
+
23679696 = 2432389241
BaseRepresentation
bin101101001010…
…1001011010000
31122120001102210
41122111023100
522030222241
62203312120
7405163005
oct132251320
948501383
1023679696
11124039a7
127b1b640
134ba1271
1432058ac
15212b316
hex16952d0

23679696 has 80 divisors (see below), whose sum is σ = 64817280. Its totient is φ = 7434240.

The previous prime is 23679671. The next prime is 23679727. The reversal of 23679696 is 69697632.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 98136 + ... + 98376.

It is an arithmetic number, because the mean of its divisors is an integer number (810216).

Almost surely, 223679696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23679696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32408640).

23679696 is an abundant number, since it is smaller than the sum of its proper divisors (41137584).

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

23679696 is a wasteful number, since it uses less digits than its factorization.

23679696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 358 counting only the distinct ones).

The product of its digits is 734832, while the sum is 48.

The square root of 23679696 is about 4866.1787883307. The cubic root of 23679696 is about 287.1609452303.

The spelling of 23679696 in words is "twenty-three million, six hundred seventy-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 89 92 138 178 184 241 267 276 356 368 482 534 552 712 723 964 1068 1104 1424 1446 1928 2047 2136 2892 3856 4094 4272 5543 5784 6141 8188 11086 11568 12282 16376 16629 21449 22172 24564 32752 33258 42898 44344 49128 64347 66516 85796 88688 98256 128694 133032 171592 257388 266064 343184 493327 514776 986654 1029552 1479981 1973308 2959962 3946616 5919924 7893232 11839848 23679696