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68751072 = 2533136121
BaseRepresentation
bin1000001100100…
…00111011100000
311210100220202000
410012100323200
5120100013242
610453324000
71463242305
oct406207340
9153326660
1068751072
1135898775
121b036600
1311322210
1491b90ac
156080a4c
hex4190ee0

68751072 has 96 divisors (see below), whose sum is σ = 215984160. Its totient is φ = 21150720.

The previous prime is 68751047. The next prime is 68751073. The reversal of 68751072 is 27015786.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×687510722 = 9453419802298368, 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 (68751073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8172 + ... + 14292.

It is an arithmetic number, because the mean of its divisors is an integer number (2249835).

Almost surely, 268751072 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 68751072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107992080).

68751072 is an abundant number, since it is smaller than the sum of its proper divisors (147233088).

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

68751072 is a wasteful number, since it uses less digits than its factorization.

68751072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6153 (or 6139 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 68751072 is about 8291.6266196688. The cubic root of 68751072 is about 409.6627645314.

The spelling of 68751072 in words is "sixty-eight million, seven hundred fifty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 5616 6121 11232 12242 18363 24484 36726 48968 55089 73452 79573 97936 110178 146904 159146 165267 195872 220356 238719 293808 318292 330534 440712 477438 587616 636584 661068 716157 881424 954876 1273168 1322136 1432314 1762848 1909752 2148471 2546336 2644272 2864628 3819504 4296942 5288544 5729256 7639008 8593884 11458512 17187768 22917024 34375536 68751072