Search a number
-
+
87229890 = 232511177173
BaseRepresentation
bin1010011001100…
…00010111000010
320002010201220200
411030300113002
5134312324030
612353350030
72106304356
oct514602702
9202121820
1087229890
114526a120
1225268316
13150c2127
14b829466
1579d0d60
hex53305c2

87229890 has 192 divisors, whose sum is σ = 269298432. Its totient is φ = 19353600.

The previous prime is 87229889. The next prime is 87229921. The reversal of 87229890 is 9892278.

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

It is a Curzon number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1194894 + ... + 1194966.

It is an arithmetic number, because the mean of its divisors is an integer number (1402596).

Almost surely, 287229890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87229890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134649216).

87229890 is an abundant number, since it is smaller than the sum of its proper divisors (182068542).

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

87229890 is a wasteful number, since it uses less digits than its factorization.

87229890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 87229890 is about 9339.6943204797. The cubic root of 87229890 is about 443.4947076168.

The spelling of 87229890 in words is "eighty-seven million, two hundred twenty-nine thousand, eight hundred ninety".