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67993900 = 225213193271
BaseRepresentation
bin1000000110110…
…00000100101100
311201221110002121
410003120010230
5114401301100
610425202324
71453636642
oct403300454
9151843077
1067993900
1135420907
121a9303a4
13111186a0
14905d192
155e8151a
hex40d812c

67993900 has 72 divisors (see below), whose sum is σ = 160309184. Its totient is φ = 24883200.

The previous prime is 67993889. The next prime is 67993909. The reversal of 67993900 is 939976.

It is not an unprimeable number, because it can be changed into a prime (67993909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 250765 + ... + 251035.

Almost surely, 267993900 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 67993900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80154592).

67993900 is an abundant number, since it is smaller than the sum of its proper divisors (92315284).

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

67993900 is a wasteful number, since it uses less digits than its factorization.

67993900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 91854, while the sum is 43.

The square root of 67993900 is about 8245.8413761120. The cubic root of 67993900 is about 408.1533048777.

The spelling of 67993900 in words is "sixty-seven million, nine hundred ninety-three thousand, nine hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 193 260 271 325 386 542 650 772 965 1084 1300 1355 1930 2509 2710 3523 3860 4825 5018 5420 6775 7046 9650 10036 12545 13550 14092 17615 19300 25090 27100 35230 50180 52303 62725 70460 88075 104606 125450 176150 209212 250900 261515 352300 523030 679939 1046060 1307575 1359878 2615150 2719756 3399695 5230300 6799390 13598780 16998475 33996950 67993900