Search a number
-
+
68640138 = 23273117573
BaseRepresentation
bin1000001011101…
…01110110001010
311210011021120100
410011311312022
5120032441023
610451110230
71462301010
oct405656612
9153137510
1068640138
1135822396
121aba2376
13112b3888
14918a8b0
15605cc43
hex4175d8a

68640138 has 48 divisors (see below), whose sum is σ = 175458816. Its totient is φ = 18977760.

The previous prime is 68640133. The next prime is 68640149. The reversal of 68640138 is 83104686.

It is a happy number.

68640138 is a `hidden beast` number, since 6 + 8 + 640 + 1 + 3 + 8 = 666.

It is a super-2 number, since 2×686401382 = 9422937089318088, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68640133) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4881 + ... + 12692.

It is an arithmetic number, because the mean of its divisors is an integer number (3655392).

Almost surely, 268640138 is an apocalyptic number.

68640138 is an abundant number, since it is smaller than the sum of its proper divisors (106818678).

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

68640138 is a wasteful number, since it uses less digits than its factorization.

68640138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17619 (or 17616 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 68640138 is about 8284.9343992575. The cubic root of 68640138 is about 409.4423073916.

The spelling of 68640138 in words is "sixty-eight million, six hundred forty thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 279 434 558 651 1302 1953 3906 17573 35146 52719 105438 123011 158157 246022 316314 369033 544763 738066 1089526 1107099 1634289 2214198 3268578 3813341 4902867 7626682 9805734 11440023 22880046 34320069 68640138