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80143008 = 25311292617
BaseRepresentation
bin1001100011011…
…10001010100000
312120210200112120
410301232022200
5131004034013
611541424240
71662130041
oct461561240
9176720476
1080143008
11412696a0
1222a0b080
13137b04ca
14a9028c8
157081123
hex4c6e2a0

80143008 has 96 divisors (see below), whose sum is σ = 237504960. Its totient is φ = 23439360.

The previous prime is 80143001. The next prime is 80143033. The reversal of 80143008 is 80034108.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (80143001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29316 + ... + 31932.

It is an arithmetic number, because the mean of its divisors is an integer number (2474010).

Almost surely, 280143008 is an apocalyptic number.

80143008 is a gapful number since it is divisible by the number (88) 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 80143008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118752480).

80143008 is an abundant number, since it is smaller than the sum of its proper divisors (157361952).

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

80143008 is a wasteful number, since it uses less digits than its factorization.

80143008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2670 (or 2662 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 80143008 is about 8952.2627307290. The cubic root of 80143008 is about 431.1435363321.

Subtracting from 80143008 its reverse (80034108), we obtain a square (108900 = 3302).

The spelling of 80143008 in words is "eighty million, one hundred forty-three thousand, eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 32 33 44 48 58 66 87 88 96 116 132 174 176 232 264 319 348 352 464 528 638 696 928 957 1056 1276 1392 1914 2552 2617 2784 3828 5104 5234 7656 7851 10208 10468 15312 15702 20936 28787 30624 31404 41872 57574 62808 75893 83744 86361 115148 125616 151786 172722 227679 230296 251232 303572 345444 455358 460592 607144 690888 834823 910716 921184 1214288 1381776 1669646 1821432 2428576 2504469 2763552 3339292 3642864 5008938 6678584 7285728 10017876 13357168 20035752 26714336 40071504 80143008