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68670252 = 22327379719
BaseRepresentation
bin1000001011111…
…01001100101100
311210012210212200
410011331030230
5120034422002
610451501500
71462454550
oct405751454
9153183780
1068670252
1135842a82
121abb7890
13112c44b1
149197860
156066b1c
hex417d32c

68670252 has 72 divisors (see below), whose sum is σ = 199180800. Its totient is φ = 19541088.

The previous prime is 68670229. The next prime is 68670271. The reversal of 68670252 is 25207686.

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

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 23 ways as a sum of consecutive naturals, for example, 95149 + ... + 95867.

It is an arithmetic number, because the mean of its divisors is an integer number (2766400).

Almost surely, 268670252 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 68670252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99590400).

68670252 is an abundant number, since it is smaller than the sum of its proper divisors (130510548).

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

68670252 is a wasteful number, since it uses less digits than its factorization.

68670252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 68670252 is about 8286.7515951668. The cubic root of 68670252 is about 409.5021758752.

The spelling of 68670252 in words is "sixty-eight million, six hundred seventy thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 379 719 758 1137 1438 1516 2157 2274 2653 2876 3411 4314 4548 5033 5306 6471 6822 7959 8628 10066 10612 12942 13644 15099 15918 20132 23877 25884 30198 31836 45297 47754 60396 90594 95508 181188 272501 545002 817503 1090004 1635006 1907507 2452509 3270012 3815014 4905018 5722521 7630028 9810036 11445042 17167563 22890084 34335126 68670252