Search a number
-
+
68874176 = 267473271
BaseRepresentation
bin1000001101011…
…10111111000000
311210121011121102
410012232333000
5120112433201
610500113532
71464264230
oct406567700
9153534542
1068874176
1135972208
121b0958a8
1311366267
14920bcc0
1560a726b
hex41aefc0

68874176 has 56 divisors (see below), whose sum is σ = 159568896. Its totient is φ = 28880640.

The previous prime is 68874161. The next prime is 68874187. The reversal of 68874176 is 67147886.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a self number, because there is not a number n which added to its sum of digits gives 68874176.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19421 + ... + 22691.

Almost surely, 268874176 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 68874176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79784448).

68874176 is an abundant number, since it is smaller than the sum of its proper divisors (90694720).

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

68874176 is a wasteful number, since it uses less digits than its factorization.

68874176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3337 (or 3327 counting only the distinct ones).

The product of its digits is 451584, while the sum is 47.

The square root of 68874176 is about 8299.0466922412. The cubic root of 68874176 is about 409.9071294708.

The spelling of 68874176 in words is "sixty-eight million, eight hundred seventy-four thousand, one hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 112 188 224 329 376 448 658 752 1316 1504 2632 3008 3271 5264 6542 10528 13084 21056 22897 26168 45794 52336 91588 104672 153737 183176 209344 307474 366352 614948 732704 1076159 1229896 1465408 2152318 2459792 4304636 4919584 8609272 9839168 17218544 34437088 68874176