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68755072 = 2717191663
BaseRepresentation
bin1000001100100…
…01111010000000
311210101010020011
410012101322000
5120100130242
610453354304
71463260051
oct406217200
9153333204
1068755072
11358a0781
121b038994
1311323c99
1491ba728
156081d17
hex4191e80

68755072 has 64 divisors (see below), whose sum is σ = 152755200. Its totient is φ = 30633984.

The previous prime is 68755039. The next prime is 68755103. The reversal of 68755072 is 27055786.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40513 + ... + 42175.

It is an arithmetic number, because the mean of its divisors is an integer number (2386800).

Almost surely, 268755072 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 68755072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76377600).

68755072 is an abundant number, since it is smaller than the sum of its proper divisors (84000128).

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

68755072 is a wasteful number, since it uses less digits than its factorization.

68755072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 40.

The square root of 68755072 is about 8291.8678233556. The cubic root of 68755072 is about 409.6707092283.

The spelling of 68755072 in words is "sixty-eight million, seven hundred fifty-five thousand, seventy-two".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 128 136 152 272 304 323 544 608 646 1088 1216 1292 1663 2176 2432 2584 3326 5168 6652 10336 13304 20672 26608 28271 31597 41344 53216 56542 63194 106432 113084 126388 212864 226168 252776 452336 505552 537149 904672 1011104 1074298 1809344 2022208 2148596 3618688 4044416 4297192 8594384 17188768 34377536 68755072