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87396660 = 2232513417
BaseRepresentation
bin1010011010110…
…01000100110100
320002110012200100
411031121010310
5134333143120
612401114100
72110600521
oct515310464
9202405610
1087396660
114537344a
1225328930
1315150000
14b870148
157a15490
hex5359134

87396660 has 180 divisors, whose sum is σ = 304088148. Its totient is φ = 20247552.

The previous prime is 87396623. The next prime is 87396679. The reversal of 87396660 is 6669378.

It can be written as a sum of positive squares in 10 ways, for example, as 86825124 + 571536 = 9318^2 + 756^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5140972 + ... + 5140988.

Almost surely, 287396660 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 87396660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152044074).

87396660 is an abundant number, since it is smaller than the sum of its proper divisors (216691488).

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

87396660 is a wasteful number, since it uses less digits than its factorization.

87396660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 87396660 is about 9348.6180796950. The cubic root of 87396660 is about 443.7771586896. Note that the first 3 decimals are identical.

The spelling of 87396660 in words is "eighty-seven million, three hundred ninety-six thousand, six hundred sixty".