Search a number
-
+
67110252 = 223111313881
BaseRepresentation
bin1000000000000…
…00010101101100
311200021112221220
410000000111230
5114140012002
610354223340
71443266466
oct400002554
9150245856
1067110252
1134977a20
121a584b50
1310b99411
148cad136
155d597bc
hex400056c

67110252 has 48 divisors (see below), whose sum is σ = 172174464. Its totient is φ = 20176000.

The previous prime is 67110247. The next prime is 67110259. The reversal of 67110252 is 25201176.

It is not an unprimeable number, because it can be changed into a prime (67110259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15352 + ... + 19232.

It is an arithmetic number, because the mean of its divisors is an integer number (3586968).

Almost surely, 267110252 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 67110252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86087232).

67110252 is an abundant number, since it is smaller than the sum of its proper divisors (105064212).

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

67110252 is a wasteful number, since it uses less digits than its factorization.

67110252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4030 (or 4028 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 67110252 is about 8192.0847163588. The cubic root of 67110252 is about 406.3774709415.

The spelling of 67110252 in words is "sixty-seven million, one hundred ten thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 131 132 262 393 524 786 1441 1572 2882 3881 4323 5764 7762 8646 11643 15524 17292 23286 42691 46572 85382 128073 170764 256146 508411 512292 1016822 1525233 2033644 3050466 5592521 6100932 11185042 16777563 22370084 33555126 67110252