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63123140 = 22529432531
BaseRepresentation
bin1111000011001…
…0111011000100
311101202222200002
43300302323010
5112124420030
610132540432
71364352323
oct360627304
9141688602
1063123140
11326a4393
1219181718
1310101692
1485520ba
15581d245
hex3c32ec4

63123140 has 48 divisors (see below), whose sum is σ = 140374080. Its totient is φ = 23802240.

The previous prime is 63123131. The next prime is 63123143. The reversal of 63123140 is 4132136.

63123140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (63123143) 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, 23675 + ... + 26205.

It is an arithmetic number, because the mean of its divisors is an integer number (2924460).

Almost surely, 263123140 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 63123140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70187040).

63123140 is an abundant number, since it is smaller than the sum of its proper divisors (77250940).

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

63123140 is a wasteful number, since it uses less digits than its factorization.

63123140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2612 (or 2610 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 63123140 is about 7945.0072372528. The cubic root of 63123140 is about 398.1648013247.

Adding to 63123140 its reverse (4132136), we get a palindrome (67255276).

The spelling of 63123140 in words is "sixty-three million, one hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 43 58 86 116 145 172 215 290 430 580 860 1247 2494 2531 4988 5062 6235 10124 12470 12655 24940 25310 50620 73399 108833 146798 217666 293596 366995 435332 544165 733990 1088330 1467980 2176660 3156157 6312314 12624628 15780785 31561570 63123140