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67991274 = 23213377853
BaseRepresentation
bin1000000110101…
…11011011101010
311201221022111100
410003113123222
5114401210044
610425142230
71453626201
oct403273352
9151838440
1067991274
113541993a
121a92a976
1311117430
14905c238
155e80869
hex40d76ea

67991274 has 48 divisors (see below), whose sum is σ = 162954792. Its totient is φ = 20352384.

The previous prime is 67991269. The next prime is 67991293. The reversal of 67991274 is 47219976.

It can be written as a sum of positive squares in 4 ways, for example, as 41024025 + 26967249 = 6405^2 + 5193^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4732 + ... + 12584.

Almost surely, 267991274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67991274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81477396).

67991274 is an abundant number, since it is smaller than the sum of its proper divisors (94963518).

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

67991274 is a wasteful number, since it uses less digits than its factorization.

67991274 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7911 (or 7908 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 67991274 is about 8245.6821427945. The cubic root of 67991274 is about 408.1480503653.

It can be divided in two parts, 67991 and 274, that added together give a triangular number (68265 = T369).

The spelling of 67991274 in words is "sixty-seven million, nine hundred ninety-one thousand, two hundred seventy-four".

Divisors: 1 2 3 6 9 13 18 26 37 39 74 78 111 117 222 234 333 481 666 962 1443 2886 4329 7853 8658 15706 23559 47118 70677 102089 141354 204178 290561 306267 581122 612534 871683 918801 1743366 1837602 2615049 3777293 5230098 7554586 11331879 22663758 33995637 67991274