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68673024 = 293272129
BaseRepresentation
bin1000001011111…
…01111000000000
311210012221200100
410011331320000
5120040014044
610451522400
71462465620
oct405757000
9153187610
1068673024
1135845072
121abb9400
13112c5834
149198880
156067869
hex417de00

68673024 has 120 divisors (see below), whose sum is σ = 226614960. Its totient is φ = 19611648.

The previous prime is 68673019. The next prime is 68673061. The reversal of 68673024 is 42037686.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 68673024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31192 + ... + 33320.

It is an arithmetic number, because the mean of its divisors is an integer number (1888458).

Almost surely, 268673024 is an apocalyptic number.

68673024 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 68673024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113307480).

68673024 is an abundant number, since it is smaller than the sum of its proper divisors (157941936).

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

68673024 is a wasteful number, since it uses less digits than its factorization.

68673024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 68673024 is about 8286.9188484020. The cubic root of 68673024 is about 409.5076859019.

The spelling of 68673024 in words is "sixty-eight million, six hundred seventy-three thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1152 1344 1536 1792 2016 2129 2304 2688 3584 4032 4258 4608 5376 6387 8064 8516 10752 12774 14903 16128 17032 19161 25548 29806 32256 34064 38322 44709 51096 59612 68128 76644 89418 102192 119224 134127 136256 153288 178836 204384 238448 268254 272512 306576 357672 408768 476896 536508 545024 613152 715344 817536 953792 1073016 1090048 1226304 1430688 1635072 1907584 2146032 2452608 2861376 3270144 3815168 4292064 4905216 5722752 7630336 8584128 9810432 11445504 17168256 22891008 34336512 68673024