Search a number
-
+
67871424 = 263834259
BaseRepresentation
bin1000000101110…
…10001011000000
311201201020002110
410002322023000
5114333341144
610422415320
71452616605
oct402721300
9151636073
1067871424
1135347895
121a891540
13110a4a0a
14902a6ac
155e5a0b9
hex40ba2c0

67871424 has 56 divisors (see below), whose sum is σ = 181782720. Its totient is φ = 22345984.

The previous prime is 67871393. The next prime is 67871449. The reversal of 67871424 is 42417876.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13807 + ... + 18065.

It is an arithmetic number, because the mean of its divisors is an integer number (3246120).

Almost surely, 267871424 is an apocalyptic number.

67871424 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67871424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90891360).

67871424 is an abundant number, since it is smaller than the sum of its proper divisors (113911296).

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

67871424 is a wasteful number, since it uses less digits than its factorization.

67871424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4357 (or 4347 counting only the distinct ones).

The product of its digits is 75264, while the sum is 39.

The square root of 67871424 is about 8238.4114973701. The cubic root of 67871424 is about 407.9080915622.

The spelling of 67871424 in words is "sixty-seven million, eight hundred seventy-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 166 192 249 332 498 664 996 1328 1992 2656 3984 4259 5312 7968 8518 12777 15936 17036 25554 34072 51108 68144 102216 136288 204432 272576 353497 408864 706994 817728 1060491 1413988 2120982 2827976 4241964 5655952 8483928 11311904 16967856 22623808 33935712 67871424