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87088020 = 22351979967
BaseRepresentation
bin1010011000011…
…01101110010100
320001212112022020
411030031232110
5134243304040
612350333140
72105143635
oct514155624
9201775266
1087088020
1145182578
12251ba1b0
1315072696
14b7cd88c
1579a3cd0
hex530db94

87088020 has 96 divisors (see below), whose sum is σ = 260198400. Its totient is φ = 21700224.

The previous prime is 87088003. The next prime is 87088031. The reversal of 87088020 is 2088078.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 89577 + ... + 90543.

It is an arithmetic number, because the mean of its divisors is an integer number (2710400).

Almost surely, 287088020 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 87088020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130099200).

87088020 is an abundant number, since it is smaller than the sum of its proper divisors (173110380).

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

87088020 is a wasteful number, since it uses less digits than its factorization.

87088020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 87088020 is about 9332.0962275364. The cubic root of 87088020 is about 443.2541450638.

The spelling of 87088020 in words is "eighty-seven million, eighty-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 79 95 114 158 190 228 237 285 316 380 395 474 570 790 948 967 1140 1185 1501 1580 1934 2370 2901 3002 3868 4503 4740 4835 5802 6004 7505 9006 9670 11604 14505 15010 18012 18373 19340 22515 29010 30020 36746 45030 55119 58020 73492 76393 90060 91865 110238 152786 183730 220476 229179 275595 305572 367460 381965 458358 551190 763930 916716 1102380 1145895 1451467 1527860 2291790 2902934 4354401 4583580 5805868 7257335 8708802 14514670 17417604 21772005 29029340 43544010 87088020