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68502144 = 2731941229
BaseRepresentation
bin1000001010101…
…00001010000000
311202220021021110
410011110022000
5120014032034
610444123320
71461154464
oct405241200
9152807243
1068502144
1135738747
121ab36540
1311265b19
1491524a4
156031de9
hex4154280

68502144 has 128 divisors (see below), whose sum is σ = 197064000. Its totient is φ = 21012480.

The previous prime is 68502113. The next prime is 68502151. The reversal of 68502144 is 44120586.

It is a tau number, because it is divible by the number of its divisors (128).

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, 299022 + ... + 299250.

Almost surely, 268502144 is an apocalyptic number.

68502144 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 68502144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98532000).

68502144 is an abundant number, since it is smaller than the sum of its proper divisors (128561856).

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

68502144 is a wasteful number, since it uses less digits than its factorization.

68502144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 68502144 is about 8276.6022013868. The cubic root of 68502144 is about 409.1677426415.

The spelling of 68502144 in words is "sixty-eight million, five hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 41 48 57 64 76 82 96 114 123 128 152 164 192 228 229 246 304 328 384 456 458 492 608 656 687 779 912 916 984 1216 1312 1374 1558 1824 1832 1968 2337 2432 2624 2748 3116 3648 3664 3936 4351 4674 5248 5496 6232 7296 7328 7872 8702 9348 9389 10992 12464 13053 14656 15744 17404 18696 18778 21984 24928 26106 28167 29312 34808 37392 37556 43968 49856 52212 56334 69616 74784 75112 87936 99712 104424 112668 139232 149568 150224 178391 208848 225336 278464 299136 300448 356782 417696 450672 535173 556928 600896 713564 835392 901344 1070346 1201792 1427128 1670784 1802688 2140692 2854256 3605376 4281384 5708512 8562768 11417024 17125536 22834048 34251072 68502144