Search a number
-
+
68668000 = 255317167
BaseRepresentation
bin1000001011111…
…00101001100000
311210012200210021
410011330221200
5120034334000
610451443224
71462445152
oct405745140
9153180707
1068668000
1135841315
121abb6514
13112c346b
149196ad2
15606611a
hex417ca60

68668000 has 48 divisors (see below), whose sum is σ = 168727104. Its totient is φ = 27465600.

The previous prime is 68667997. The next prime is 68668001. The reversal of 68668000 is 86686.

68668000 = 2272 + 2282 + ... + 6012.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68668001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4584 + ... + 12583.

It is an arithmetic number, because the mean of its divisors is an integer number (3515148).

Almost surely, 268668000 is an apocalyptic number.

It is an amenable number.

68668000 is an abundant number, since it is smaller than the sum of its proper divisors (100059104).

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

68668000 is a wasteful number, since it uses less digits than its factorization.

68668000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17192 (or 17174 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 68668000 is about 8286.6157145122. The cubic root of 68668000 is about 409.4976993663.

It can be divided in two parts, 686 and 68000, that added together give a palindrome (68686).

The spelling of 68668000 in words is "sixty-eight million, six hundred sixty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 17167 34334 68668 85835 137336 171670 274672 343340 429175 549344 686680 858350 1373360 1716700 2145875 2746720 3433400 4291750 6866800 8583500 13733600 17167000 34334000 68668000