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87143364 = 22347211499
BaseRepresentation
bin1010011000110…
…11001111000100
320001222100020000
411030123033010
5134302041424
612351441300
72105464200
oct514331704
9201870200
1087143364
1145210110
1225226230
1315091929
14b805b00
1579b53c9
hex531b3c4

87143364 has 180 divisors, whose sum is σ = 289674000. Its totient is φ = 22589280.

The previous prime is 87143351. The next prime is 87143401. The reversal of 87143364 is 46334178.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 174387 + ... + 174885.

It is an arithmetic number, because the mean of its divisors is an integer number (1609300).

Almost surely, 287143364 is an apocalyptic number.

87143364 is a gapful number since it is divisible by the number (84) 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 87143364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144837000).

87143364 is an abundant number, since it is smaller than the sum of its proper divisors (202530636).

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

87143364 is a wasteful number, since it uses less digits than its factorization.

87143364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 522 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 87143364 is about 9335.0610067637. The cubic root of 87143364 is about 443.3480204429.

The spelling of 87143364 in words is "eighty-seven million, one hundred forty-three thousand, three hundred sixty-four".