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8068001076 = 22324340912743
BaseRepresentation
bin1111000001110001…
…11110110100110100
3202211021100220211200
413200320332310310
5113010402013301
63412325132500
7403634610012
oct74070766464
922737326750
108068001076
1134701a3693
121691b5a130
139b7661b45
145677298b2
1532347dc86
hex1e0e3ed34

8068001076 has 72 divisors (see below), whose sum is σ = 20921060160. Its totient is φ = 2620162944.

The previous prime is 8068001023. The next prime is 8068001087. The reversal of 8068001076 is 6701008608.

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

It is a self number, because there is not a number n which added to its sum of digits gives 8068001076.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 626761 + ... + 639503.

It is an arithmetic number, because the mean of its divisors is an integer number (290570280).

Almost surely, 28068001076 is an apocalyptic number.

8068001076 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8068001076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10460530080).

8068001076 is an abundant number, since it is smaller than the sum of its proper divisors (12853059084).

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

8068001076 is a wasteful number, since it uses less digits than its factorization.

8068001076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13205 (or 13200 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 8068001076 is about 89822.0522811631. The cubic root of 8068001076 is about 2005.6507756642.

The spelling of 8068001076 in words is "eight billion, sixty-eight million, one thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 409 516 774 818 1227 1548 1636 2454 3681 4908 7362 12743 14724 17587 25486 35174 38229 50972 52761 70348 76458 105522 114687 152916 158283 211044 229374 316566 458748 547949 633132 1095898 1643847 2191796 3287694 4931541 5211887 6575388 9863082 10423774 15635661 19726164 20847548 31271322 46906983 62542644 93813966 187627932 224111141 448222282 672333423 896444564 1344666846 2017000269 2689333692 4034000538 8068001076