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68122152 = 23327219309
BaseRepresentation
bin1000000111101…
…11011000101000
311202011222000200
410003313120220
5114414402102
610432032200
71455012600
oct403673050
9152158020
1068122152
11354a91aa
121a992660
1311161b87
149093c00
155ea951c
hex40f7628

68122152 has 72 divisors (see below), whose sum is σ = 214630650. Its totient is φ = 19462464.

The previous prime is 68122151. The next prime is 68122181. The reversal of 68122152 is 25122186.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 65707236 + 2414916 = 8106^2 + 1554^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×681221522 = 9281255186222208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (68122151) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6127 + ... + 13182.

Almost surely, 268122152 is an apocalyptic number.

It is an amenable number.

68122152 is an abundant number, since it is smaller than the sum of its proper divisors (146508498).

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

68122152 is a wasteful number, since it uses less digits than its factorization.

68122152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19335 (or 19321 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 68122152 is about 8253.6144809411. The cubic root of 68122152 is about 408.4097670978.

The spelling of 68122152 in words is "sixty-eight million, one hundred twenty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 19309 38618 57927 77236 115854 135163 154472 173781 231708 270326 347562 405489 463416 540652 695124 810978 946141 1081304 1216467 1390248 1621956 1892282 2432934 2838423 3243912 3784564 4865868 5676846 7569128 8515269 9731736 11353692 17030538 22707384 34061076 68122152