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143891264 = 26112171093
BaseRepresentation
bin10001001001110…
…01101101000000
3101000202102201002
420210321231000
5243314010024
622140031132
73365025026
oct1044715500
9330672632
10143891264
117424a700
12402324a8
1323a7057a
1415178716
15c9746ae
hex8939b40

143891264 has 84 divisors (see below), whose sum is σ = 332617572. Its totient is φ = 61501440.

The previous prime is 143891221. The next prime is 143891269. The reversal of 143891264 is 462198341.

It can be written as a sum of positive squares in 2 ways, for example, as 130873600 + 13017664 = 11440^2 + 3608^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (143891269) 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 11 ways as a sum of consecutive naturals, for example, 131102 + ... + 132194.

It is an arithmetic number, because the mean of its divisors is an integer number (3959733).

Almost surely, 2143891264 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 143891264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166308786).

143891264 is an abundant number, since it is smaller than the sum of its proper divisors (188726308).

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

143891264 is a wasteful number, since it uses less digits than its factorization.

143891264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1123 counting only the distinct ones).

The product of its digits is 41472, while the sum is 38.

The square root of 143891264 is about 11995.4684777211. The cubic root of 143891264 is about 524.0163155575.

The spelling of 143891264 in words is "one hundred forty-three million, eight hundred ninety-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 121 136 176 187 242 272 352 374 484 544 704 748 968 1088 1093 1496 1936 2057 2186 2992 3872 4114 4372 5984 7744 8228 8744 11968 12023 16456 17488 18581 24046 32912 34976 37162 48092 65824 69952 74324 96184 131648 132253 148648 192368 204391 264506 297296 384736 408782 529012 594592 769472 817564 1058024 1189184 1635128 2116048 2248301 3270256 4232096 4496602 6540512 8464192 8993204 13081024 17986408 35972816 71945632 143891264