Search a number
-
+
67774056 = 233738233
BaseRepresentation
bin1000000101000…
…10011001101000
311201112021112020
410002202121220
5114322232211
610420344440
71452033000
oct402423150
9151467466
1067774056
1135290719
121a845120
131106c5bc
149003000
155e3b306
hex40a2668

67774056 has 64 divisors (see below), whose sum is σ = 197616000. Its totient is φ = 19361664.

The previous prime is 67774039. The next prime is 67774061. The reversal of 67774056 is 65047776.

It is a super-2 number, since 2×677740562 = 9186645333382272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 67773999 and 67774017.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4116 + ... + 12348.

It is an arithmetic number, because the mean of its divisors is an integer number (3087750).

Almost surely, 267774056 is an apocalyptic number.

It is a pronic number, being equal to 8232×8233.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67774056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98808000).

67774056 is an abundant number, since it is smaller than the sum of its proper divisors (129841944).

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

67774056 is a wasteful number, since it uses less digits than its factorization.

67774056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8263 (or 8245 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 42.

The square root of 67774056 is about 8232.4999848163. The cubic root of 67774056 is about 407.7129372515.

The spelling of 67774056 in words is "sixty-seven million, seven hundred seventy-four thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 343 392 588 686 1029 1176 1372 2058 2744 4116 8232 8233 16466 24699 32932 49398 57631 65864 98796 115262 172893 197592 230524 345786 403417 461048 691572 806834 1210251 1383144 1613668 2420502 2823919 3227336 4841004 5647838 8471757 9682008 11295676 16943514 22591352 33887028 67774056