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87248260 = 225112311163
BaseRepresentation
bin1010011001101…
…00110110000100
320002011200010001
411030310312010
5134313421020
612354011044
72106412051
oct514646604
9202150101
1087248260
1145281a00
1225276a84
13150ca5b8
14b832028
1579d650a
hex5334d84

87248260 has 72 divisors (see below), whose sum is σ = 208067328. Its totient is φ = 30676800.

The previous prime is 87248243. The next prime is 87248263. The reversal of 87248260 is 6284278.

It is a super-2 number, since 2×872482602 = 15224517746055200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87248263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74439 + ... + 75601.

It is an arithmetic number, because the mean of its divisors is an integer number (2889824).

Almost surely, 287248260 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 87248260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104033664).

87248260 is an abundant number, since it is smaller than the sum of its proper divisors (120819068).

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

87248260 is a wasteful number, since it uses less digits than its factorization.

87248260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 87248260 is about 9340.6777056057. The cubic root of 87248260 is about 443.5258377182.

The spelling of 87248260 in words is "eighty-seven million, two hundred forty-eight thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 121 124 155 220 242 310 341 484 605 620 682 1163 1210 1364 1705 2326 2420 3410 3751 4652 5815 6820 7502 11630 12793 15004 18755 23260 25586 36053 37510 51172 63965 72106 75020 127930 140723 144212 180265 255860 281446 360530 396583 562892 703615 721060 793166 1407230 1586332 1982915 2814460 3965830 4362413 7931660 8724826 17449652 21812065 43624130 87248260