Search a number
-
+
23107968 = 2732131543
BaseRepresentation
bin101100000100…
…1100110000000
31121111000011200
41120021212000
521403423333
62143141200
7400262112
oct130114600
947430150
1023107968
11120533a4
1278a4800
134a30c70
1430d73b2
152066c13
hex1609980

23107968 has 96 divisors (see below), whose sum is σ = 71657040. Its totient is φ = 7105536.

The previous prime is 23107967. The next prime is 23107991. The reversal of 23107968 is 86970132.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23107961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14205 + ... + 15747.

Almost surely, 223107968 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 23107968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35828520).

23107968 is an abundant number, since it is smaller than the sum of its proper divisors (48549072).

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

23107968 is a wasteful number, since it uses less digits than its factorization.

23107968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 23107968 is about 4807.0747861875. The cubic root of 23107968 is about 284.8309986037.

The spelling of 23107968 in words is "twenty-three million, one hundred seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1543 1664 1872 2496 3086 3744 4629 4992 6172 7488 9258 12344 13887 14976 18516 20059 24688 27774 37032 40118 49376 55548 60177 74064 80236 98752 111096 120354 148128 160472 180531 197504 222192 240708 296256 320944 361062 444384 481416 592512 641888 722124 888768 962832 1283776 1444248 1777536 1925664 2567552 2888496 3851328 5776992 7702656 11553984 23107968