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68232128 = 262997379
BaseRepresentation
bin1000001000100…
…10001111000000
311202101112212212
410010102033000
5114431412003
610434241252
71455651326
oct404221700
9152345785
1068232128
1135573898
121aa26228
131119cc53
1490c1d16
155ecbdd8
hex41123c0

68232128 has 56 divisors (see below), whose sum is σ = 141884400. Its totient is φ = 32514048.

The previous prime is 68232121. The next prime is 68232137. The reversal of 68232128 is 82123286.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 68232094 and 68232103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68232121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 179843 + ... + 180221.

It is an arithmetic number, because the mean of its divisors is an integer number (2533650).

Almost surely, 268232128 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 68232128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70942200).

68232128 is an abundant number, since it is smaller than the sum of its proper divisors (73652272).

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

68232128 is a wasteful number, since it uses less digits than its factorization.

68232128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 507 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 68232128 is about 8260.2740874622. The cubic root of 68232128 is about 408.6294270398.

The spelling of 68232128 in words is "sixty-eight million, two hundred thirty-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 97 116 194 232 379 388 464 758 776 928 1516 1552 1856 2813 3032 3104 5626 6064 6208 10991 11252 12128 21982 22504 24256 36763 43964 45008 73526 87928 90016 147052 175856 180032 294104 351712 588208 703424 1066127 1176416 2132254 2352832 4264508 8529016 17058032 34116064 68232128