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68843136 = 273612939
BaseRepresentation
bin1000001101001…
…11011010000000
311210112121000210
410012213122000
5120110440021
610455314120
71464104565
oct406473200
9153477023
1068843136
113595095a
121b07b940
13113550ab
14920086c
15609ce76
hex41a7680

68843136 has 64 divisors (see below), whose sum is σ = 185925600. Its totient is φ = 22563840.

The previous prime is 68843123. The next prime is 68843153. The reversal of 68843136 is 63134886.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 68843094 and 68843103.

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, 21955 + ... + 24893.

Almost surely, 268843136 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 68843136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92962800).

68843136 is an abundant number, since it is smaller than the sum of its proper divisors (117082464).

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

68843136 is a wasteful number, since it uses less digits than its factorization.

68843136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3017 (or 3005 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 68843136 is about 8297.1763871814. The cubic root of 68843136 is about 409.8455416599.

The spelling of 68843136 in words is "sixty-eight million, eight hundred forty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 366 384 488 732 976 1464 1952 2928 2939 3904 5856 5878 7808 8817 11712 11756 17634 23424 23512 35268 47024 70536 94048 141072 179279 188096 282144 358558 376192 537837 564288 717116 1075674 1128576 1434232 2151348 2868464 4302696 5736928 8605392 11473856 17210784 22947712 34421568 68843136