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77128068 = 22319437867
BaseRepresentation
bin1001001100011…
…10000110000100
312101010111211010
410212032012010
5124221044233
611353042220
71624402113
oct446160604
9171114733
1077128068
113a59a506
12219b6370
1312c96114
14a359c7a
156b87b63
hex498e184

77128068 has 48 divisors (see below), whose sum is σ = 193867520. Its totient is φ = 23786784.

The previous prime is 77128067. The next prime is 77128069. The reversal of 77128068 is 86082177.

It is an interprime number because it is at equal distance from previous prime (77128067) and next prime (77128069).

It is not an unprimeable number, because it can be changed into a prime (77128067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5871 + ... + 13737.

Almost surely, 277128068 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 77128068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96933760).

77128068 is an abundant number, since it is smaller than the sum of its proper divisors (116739452).

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

77128068 is a wasteful number, since it uses less digits than its factorization.

77128068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7936 (or 7934 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 39.

The square root of 77128068 is about 8782.2587071892. The cubic root of 77128068 is about 425.6678183639.

The spelling of 77128068 in words is "seventy-seven million, one hundred twenty-eight thousand, sixty-eight".

Divisors: 1 2 3 4 6 12 19 38 43 57 76 86 114 129 172 228 258 516 817 1634 2451 3268 4902 7867 9804 15734 23601 31468 47202 94404 149473 298946 338281 448419 597892 676562 896838 1014843 1353124 1793676 2029686 4059372 6427339 12854678 19282017 25709356 38564034 77128068