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87944320 = 275137413
BaseRepresentation
bin1010011110111…
…10110010000000
320010111000221001
411033132302000
5140003204240
612420541344
72115341302
oct517366200
9203430831
1087944320
1145707962
1225551854
13152b2379
14b973972
157ac289a
hex53dec80

87944320 has 32 divisors (see below), whose sum is σ = 210243420. Its totient is φ = 35177472.

The previous prime is 87944317. The next prime is 87944321. The reversal of 87944320 is 2344978.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 87459904 + 484416 = 9352^2 + 696^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 87944320.

It is not an unprimeable number, because it can be changed into a prime (87944321) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 68067 + ... + 69346.

Almost surely, 287944320 is an apocalyptic number.

87944320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87944320 is an abundant number, since it is smaller than the sum of its proper divisors (122299100).

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

87944320 is a wasteful number, since it uses less digits than its factorization.

87944320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137432 (or 137420 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 87944320 is about 9377.8632960819. The cubic root of 87944320 is about 444.7021867974.

The spelling of 87944320 in words is "eighty-seven million, nine hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 137413 274826 549652 687065 1099304 1374130 2198608 2748260 4397216 5496520 8794432 10993040 17588864 21986080 43972160 87944320