Search a number
-
+
68627088 = 243519929
BaseRepresentation
bin1000001011100…
…10101010010000
311210010121200000
410011302222100
5120032031323
610450530000
71462214655
oct405625220
9153117600
1068627088
1135813602
121ab96900
13112aa95a
149185c2c
156058e43
hex4172a90

68627088 has 120 divisors (see below), whose sum is σ = 209882400. Its totient is φ = 21648384.

The previous prime is 68627077. The next prime is 68627093. The reversal of 68627088 is 88072686.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73408 + ... + 74336.

It is an arithmetic number, because the mean of its divisors is an integer number (1749020).

Almost surely, 268627088 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 68627088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104941200).

68627088 is an abundant number, since it is smaller than the sum of its proper divisors (141255312).

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

68627088 is a wasteful number, since it uses less digits than its factorization.

68627088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 68627088 is about 8284.1467876903. The cubic root of 68627088 is about 409.4163577508.

The spelling of 68627088 in words is "sixty-eight million, six hundred twenty-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 81 108 114 144 152 162 171 216 228 243 304 324 342 432 456 486 513 648 684 912 929 972 1026 1296 1368 1539 1858 1944 2052 2736 2787 3078 3716 3888 4104 4617 5574 6156 7432 8208 8361 9234 11148 12312 14864 16722 17651 18468 22296 24624 25083 33444 35302 36936 44592 50166 52953 66888 70604 73872 75249 100332 105906 133776 141208 150498 158859 200664 211812 225747 282416 300996 317718 401328 423624 451494 476577 601992 635436 847248 902988 953154 1203984 1270872 1429731 1805976 1906308 2541744 2859462 3611952 3812616 4289193 5718924 7625232 8578386 11437848 17156772 22875696 34313544 68627088