Search a number
-
+
68005504 = 277711069
BaseRepresentation
bin1000000110110…
…10111010000000
311201222001000101
410003122322000
5114402134004
610425332144
71454015530
oct403327200
9151861011
1068005504
11354295a6
121a937054
1311120a58
1490634c0
155e84ba4
hex40dae80

68005504 has 64 divisors (see below), whose sum is σ = 157161600. Its totient is φ = 28707840.

The previous prime is 68005481. The next prime is 68005507. The reversal of 68005504 is 40550086.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (68005507) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63082 + ... + 64150.

It is an arithmetic number, because the mean of its divisors is an integer number (2455650).

Almost surely, 268005504 is an apocalyptic number.

68005504 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 68005504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78580800).

68005504 is an abundant number, since it is smaller than the sum of its proper divisors (89156096).

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

68005504 is a wasteful number, since it uses less digits than its factorization.

68005504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 68005504 is about 8246.5449735025. The cubic root of 68005504 is about 408.1765223602.

The spelling of 68005504 in words is "sixty-eight million, five thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 71 112 128 142 224 284 448 497 568 896 994 1069 1136 1988 2138 2272 3976 4276 4544 7483 7952 8552 9088 14966 15904 17104 29932 31808 34208 59864 63616 68416 75899 119728 136832 151798 239456 303596 478912 531293 607192 957824 1062586 1214384 2125172 2428768 4250344 4857536 8500688 9715072 17001376 34002752 68005504