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68664672 = 253459449
BaseRepresentation
bin1000001011110…
…11110101100000
311210012112020000
410011323311200
5120034232142
610451420000
71462432356
oct405736540
9153175200
1068664672
113583986a
121abb4600
13112c1aab
1491957d6
15606514c
hex417bd60

68664672 has 120 divisors (see below), whose sum is σ = 205821000. Its totient is φ = 22450176.

The previous prime is 68664647. The next prime is 68664719. The reversal of 68664672 is 27646686.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 152704 + ... + 153152.

It is an arithmetic number, because the mean of its divisors is an integer number (1715175).

Almost surely, 268664672 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 68664672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102910500).

68664672 is an abundant number, since it is smaller than the sum of its proper divisors (137156328).

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

68664672 is a wasteful number, since it uses less digits than its factorization.

68664672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 513 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 68664672 is about 8286.4149063392. The cubic root of 68664672 is about 409.4910838134.

The spelling of 68664672 in words is "sixty-eight million, six hundred sixty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 72 81 96 108 118 144 162 177 216 236 288 324 354 432 449 472 531 648 708 864 898 944 1062 1296 1347 1416 1593 1796 1888 2124 2592 2694 2832 3186 3592 4041 4248 4779 5388 5664 6372 7184 8082 8496 9558 10776 12123 12744 14368 16164 16992 19116 21552 24246 25488 26491 32328 36369 38232 43104 48492 50976 52982 64656 72738 76464 79473 96984 105964 129312 145476 152928 158946 193968 211928 238419 290952 317892 387936 423856 476838 581904 635784 715257 847712 953676 1163808 1271568 1430514 1907352 2145771 2543136 2861028 3814704 4291542 5722056 7629408 8583084 11444112 17166168 22888224 34332336 68664672