Search a number
-
+
123271712 = 2543101887
BaseRepresentation
bin1110101100011…
…11101000100000
322120221211222222
413112033220200
5223024143322
620122050212
73024535514
oct726175040
9276854888
10123271712
1163646953
1235349968
131c701155
141252c144
15ac4ee42
hex758fa20

123271712 has 48 divisors (see below), whose sum is σ = 251076672. Its totient is φ = 59539200.

The previous prime is 123271699. The next prime is 123271727. The reversal of 123271712 is 217172321.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 138533 + ... + 139419.

It is an arithmetic number, because the mean of its divisors is an integer number (5230764).

Almost surely, 2123271712 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 123271712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125538336).

123271712 is an abundant number, since it is smaller than the sum of its proper divisors (127804960).

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

123271712 is a wasteful number, since it uses less digits than its factorization.

123271712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1033 counting only the distinct ones).

The product of its digits is 1176, while the sum is 26.

The square root of 123271712 is about 11102.7794718260. The cubic root of 123271712 is about 497.6849132911.

The spelling of 123271712 in words is "one hundred twenty-three million, two hundred seventy-one thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 32 43 86 101 172 202 344 404 688 808 887 1376 1616 1774 3232 3548 4343 7096 8686 14192 17372 28384 34744 38141 69488 76282 89587 138976 152564 179174 305128 358348 610256 716696 1220512 1433392 2866784 3852241 7704482 15408964 30817928 61635856 123271712