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68427072 = 263375657
BaseRepresentation
bin1000001010000…
…01110101000000
311202202110022000
410011001311000
5120004131242
610442344000
71460422560
oct405016500
9152673260
1068427072
11356972aa
121aabb000
131123a8bc
149132da0
156019a4c
hex4141d40

68427072 has 112 divisors (see below), whose sum is σ = 229941120. Its totient is φ = 19547136.

The previous prime is 68427053. The next prime is 68427083. The reversal of 68427072 is 27072486.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9268 + ... + 14924.

Almost surely, 268427072 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 68427072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114970560).

68427072 is an abundant number, since it is smaller than the sum of its proper divisors (161514048).

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

68427072 is a wasteful number, since it uses less digits than its factorization.

68427072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5685 (or 5669 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 68427072 is about 8272.0657637618. The cubic root of 68427072 is about 409.0182180338.

The spelling of 68427072 in words is "sixty-eight million, four hundred twenty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 5657 6048 11314 12096 16971 22628 33942 39599 45256 50913 67884 79198 90512 101826 118797 135768 152739 158396 181024 203652 237594 271536 305478 316792 356391 362048 407304 475188 543072 610956 633584 712782 814608 950376 1069173 1086144 1221912 1267168 1425564 1629216 1900752 2138346 2443824 2534336 2851128 3258432 3801504 4276692 4887648 5702256 7603008 8553384 9775296 11404512 17106768 22809024 34213536 68427072