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68142888 = 23321197887
BaseRepresentation
bin1000000111111…
…00011100101000
311202020000110200
410003330130220
5114421033023
610432312200
71455130212
oct403743450
9152200420
1068142888
1135512840
121a9a2660
131116b448
14909b5b2
155eb0743
hex40fc728

68142888 has 96 divisors (see below), whose sum is σ = 203636160. Its totient is φ = 20413440.

The previous prime is 68142883. The next prime is 68142901. The reversal of 68142888 is 88824186.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (68142881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76381 + ... + 77267.

It is an arithmetic number, because the mean of its divisors is an integer number (2121210).

Almost surely, 268142888 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 68142888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101818080).

68142888 is an abundant number, since it is smaller than the sum of its proper divisors (135493272).

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

68142888 is a wasteful number, since it uses less digits than its factorization.

68142888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 1000 counting only the distinct ones).

The product of its digits is 196608, while the sum is 45.

The square root of 68142888 is about 8254.8705622802. The cubic root of 68142888 is about 408.4512021060.

The spelling of 68142888 in words is "sixty-eight million, one hundred forty-two thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 97 99 132 194 198 264 291 388 396 582 776 792 873 887 1067 1164 1746 1774 2134 2328 2661 3201 3492 3548 4268 5322 6402 6984 7096 7983 8536 9603 9757 10644 12804 15966 19206 19514 21288 25608 29271 31932 38412 39028 58542 63864 76824 78056 86039 87813 117084 172078 175626 234168 258117 344156 351252 516234 688312 702504 774351 946429 1032468 1548702 1892858 2064936 2839287 3097404 3785716 5678574 6194808 7571432 8517861 11357148 17035722 22714296 34071444 68142888