Search a number
-
+
68838732 = 223253109331
BaseRepresentation
bin1000001101001…
…10010101001100
311210112100222200
410012212111030
5120110314412
610455241500
71464056004
oct406462514
9153470880
1068838732
1135948616
121b079290
13113530a1
1491dd004
15609b9dc
hex41a654c

68838732 has 72 divisors (see below), whose sum is σ = 179459280. Its totient is φ = 22239360.

The previous prime is 68838727. The next prime is 68838733. The reversal of 68838732 is 23783886.

It is not an unprimeable number, because it can be changed into a prime (68838733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207807 + ... + 208137.

It is an arithmetic number, because the mean of its divisors is an integer number (2492490).

Almost surely, 268838732 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 68838732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89729640).

68838732 is an abundant number, since it is smaller than the sum of its proper divisors (110620548).

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

68838732 is a wasteful number, since it uses less digits than its factorization.

68838732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 498 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 68838732 is about 8296.9109914474. The cubic root of 68838732 is about 409.8368019929.

The spelling of 68838732 in words is "sixty-eight million, eight hundred thirty-eight thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 109 159 212 218 318 327 331 436 477 636 654 662 954 981 993 1308 1324 1908 1962 1986 2979 3924 3972 5777 5958 11554 11916 17331 17543 23108 34662 35086 36079 51993 52629 69324 70172 72158 103986 105258 108237 144316 157887 207972 210516 216474 315774 324711 432948 631548 649422 1298844 1912187 3824374 5736561 7648748 11473122 17209683 22946244 34419366 68838732