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143431680 = 2113572329
BaseRepresentation
bin10001000110010…
…01100000000000
3100222220002021110
420203021200000
5243204303210
622122123320
73361102110
oct1043114000
9328802243
10143431680
1173a66387
1240050540
132393c322
1415099040
15c8d3420
hex88c9800

143431680 has 384 divisors, whose sum is σ = 566092800. Its totient is φ = 30277632.

The previous prime is 143431663. The next prime is 143431693. The reversal of 143431680 is 86134341.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4945906 + ... + 4945934.

It is an arithmetic number, because the mean of its divisors is an integer number (1474200).

Almost surely, 2143431680 is an apocalyptic number.

143431680 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 143431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283046400).

143431680 is an abundant number, since it is smaller than the sum of its proper divisors (422661120).

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

143431680 is a wasteful number, since it uses less digits than its factorization.

143431680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 143431680 is about 11976.2965895138. The cubic root of 143431680 is about 523.4578235311.

The spelling of 143431680 in words is "one hundred forty-three million, four hundred thirty-one thousand, six hundred eighty".