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68280576 = 283713977
BaseRepresentation
bin1000001000111…
…10000100000000
311202111000100020
410010132010000
5114434434301
610435253440
71456242510
oct404360400
9152430306
1068280576
11355a7231
121aa4a280
13111b9010
1490d5840
155edb436
hex411e100

68280576 has 144 divisors (see below), whose sum is σ = 223891584. Its totient is φ = 17989632.

The previous prime is 68280559. The next prime is 68280607. The reversal of 68280576 is 67508286.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69400 + ... + 70376.

Almost surely, 268280576 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 68280576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111945792).

68280576 is an abundant number, since it is smaller than the sum of its proper divisors (155611008).

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

68280576 is a wasteful number, since it uses less digits than its factorization.

68280576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 68280576 is about 8263.2061574186. The cubic root of 68280576 is about 408.7261194888.

The spelling of 68280576 in words is "sixty-eight million, two hundred eighty thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 256 273 312 336 364 384 416 448 546 624 672 728 768 832 896 977 1092 1248 1344 1456 1664 1792 1954 2184 2496 2688 2912 2931 3328 3908 4368 4992 5376 5824 5862 6839 7816 8736 9984 11648 11724 12701 13678 15632 17472 20517 23296 23448 25402 27356 31264 34944 38103 41034 46896 50804 54712 62528 69888 76206 82068 88907 93792 101608 109424 125056 152412 164136 177814 187584 203216 218848 250112 266721 304824 328272 355628 375168 406432 437696 533442 609648 656544 711256 750336 812864 875392 1066884 1219296 1313088 1422512 1625728 1750784 2133768 2438592 2626176 2845024 3251456 4267536 4877184 5252352 5690048 8535072 9754368 11380096 17070144 22760192 34140288 68280576