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143784080 = 245111091499
BaseRepresentation
bin10001001000111…
…11100010010000
3101000112222200022
420210133202100
5243302042310
622133443012
73364100366
oct1044374220
9330488608
10143784080
1174187120
12401a0468
1323a3384b
141514b636
15c952a55
hex891f890

143784080 has 80 divisors (see below), whose sum is σ = 368280000. Its totient is φ = 51770880.

The previous prime is 143784061. The next prime is 143784097. The reversal of 143784080 is 80487341.

It is a happy number.

It is a Cunningham number, because it is equal to 119912-1.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1437840802 = 41347723322892800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 143784080.

It is an unprimeable number.

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, 95171 + ... + 96669.

It is an arithmetic number, because the mean of its divisors is an integer number (4603500).

Almost surely, 2143784080 is an apocalyptic number.

143784080 is a gapful number since it is divisible by the number (10) 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 143784080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184140000).

143784080 is an abundant number, since it is smaller than the sum of its proper divisors (224495920).

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

143784080 is a wasteful number, since it uses less digits than its factorization.

143784080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 143784080 is about 11990.9999583021. Note that the first 4 decimals coincide. The cubic root of 143784080 is about 523.8861707176.

The spelling of 143784080 in words is "one hundred forty-three million, seven hundred eighty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 109 110 176 218 220 436 440 545 872 880 1090 1199 1499 1744 2180 2398 2998 4360 4796 5995 5996 7495 8720 9592 11990 11992 14990 16489 19184 23980 23984 29980 32978 47960 59960 65956 82445 95920 119920 131912 163391 164890 263824 326782 329780 653564 659560 816955 1307128 1319120 1633910 1797301 2614256 3267820 3594602 6535640 7189204 8986505 13071280 14378408 17973010 28756816 35946020 71892040 143784080