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68638104 = 2334731451
BaseRepresentation
bin1000001011101…
…01010110011000
311210011011210000
410011311112120
5120032404404
610451053000
71462262043
oct405652630
9153134700
1068638104
1135820907
121aba1160
13112b2982
149189c5a
15605c339
hex4175598

68638104 has 80 divisors (see below), whose sum is σ = 195018120. Its totient is φ = 22550400.

The previous prime is 68638091. The next prime is 68638109. The reversal of 68638104 is 40183686.

It is a happy number.

68638104 is a `hidden beast` number, since 6 + 8 + 638 + 10 + 4 = 666.

It is a super-2 number, since 2×686381042 = 9422378641429632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68638109) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 46579 + ... + 48029.

Almost surely, 268638104 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 68638104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97509060).

68638104 is an abundant number, since it is smaller than the sum of its proper divisors (126380016).

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

68638104 is a wasteful number, since it uses less digits than its factorization.

68638104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542 (or 1529 counting only the distinct ones).

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

The square root of 68638104 is about 8284.8116454148. The cubic root of 68638104 is about 409.4382630433.

The spelling of 68638104 in words is "sixty-eight million, six hundred thirty-eight thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 73 81 108 146 162 216 219 292 324 438 584 648 657 876 1314 1451 1752 1971 2628 2902 3942 4353 5256 5804 5913 7884 8706 11608 11826 13059 15768 17412 23652 26118 34824 39177 47304 52236 78354 104472 105923 117531 156708 211846 235062 313416 317769 423692 470124 635538 847384 940248 953307 1271076 1906614 2542152 2859921 3813228 5719842 7626456 8579763 11439684 17159526 22879368 34319052 68638104