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87130890 = 23457112127
BaseRepresentation
bin1010011000110…
…00001100001010
320001221201010000
411030120030022
5134301142030
612351303430
72105412630
oct514301412
9201851100
1087130890
1145201800
122521ab76
1315089052
14b801350
1579b1860
hex531830a

87130890 has 240 divisors, whose sum is σ = 296626176. Its totient is φ = 17962560.

The previous prime is 87130871. The next prime is 87130891. The reversal of 87130890 is 9803178.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87130891) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 686007 + ... + 686133.

Almost surely, 287130890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87130890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148313088).

87130890 is an abundant number, since it is smaller than the sum of its proper divisors (209495286).

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

87130890 is a wasteful number, since it uses less digits than its factorization.

87130890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 87130890 is about 9334.3928565279. The cubic root of 87130890 is about 443.3268653148.

The spelling of 87130890 in words is "eighty-seven million, one hundred thirty thousand, eight hundred ninety".