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68554512 = 2434132313
BaseRepresentation
bin1000001011000…
…00111100010000
311202222221010000
410011200330100
5120022221022
610445210000
71461463245
oct405407420
9152887100
1068554512
1135774024
121ab60900
1311283900
1491675cc
1560426ac
hex4160f10

68554512 has 150 divisors (see below), whose sum is σ = 215539962. Its totient is φ = 21026304.

The previous prime is 68554511. The next prime is 68554517. The reversal of 68554512 is 21545586.

It can be written as a sum of positive squares in 3 ways, for example, as 8088336 + 60466176 = 2844^2 + 7776^2 .

It is a super-2 number, since 2×685545122 = 9399442231116288, 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 (68554511) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 218868 + ... + 219180.

Almost surely, 268554512 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 68554512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107769981).

68554512 is an abundant number, since it is smaller than the sum of its proper divisors (146985450).

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

68554512 is a wasteful number, since it uses less digits than its factorization.

68554512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 331 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 68554512 is about 8279.7652140625. The cubic root of 68554512 is about 409.2719819019.

The spelling of 68554512 in words is "sixty-eight million, five hundred fifty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 169 208 216 234 312 313 324 338 351 432 468 507 624 626 648 676 702 936 939 1014 1053 1252 1296 1352 1404 1521 1872 1878 2028 2106 2504 2704 2808 2817 3042 3756 4056 4069 4212 4563 5008 5616 5634 6084 7512 8112 8138 8424 8451 9126 11268 12168 12207 13689 15024 16276 16848 16902 18252 22536 24336 24414 25353 27378 32552 33804 36504 36621 45072 48828 50706 52897 54756 65104 67608 73008 73242 97656 101412 105794 109512 109863 135216 146484 158691 195312 202824 211588 219024 219726 292968 317382 329589 405648 423176 439452 476073 585936 634764 659178 846352 878904 952146 1269528 1318356 1428219 1757808 1904292 2539056 2636712 2856438 3808584 4284657 5273424 5712876 7617168 8569314 11425752 17138628 22851504 34277256 68554512