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87361020 = 223252332083
BaseRepresentation
bin1010011010100…
…00010111111100
320002101101210100
411031100113330
5134331023040
612400241100
72110361565
oct515202774
9202341710
1087361020
114534969a
1225310190
1315139a16
14b86116c
157a09b30
hex53505fc

87361020 has 72 divisors (see below), whose sum is σ = 266260176. Its totient is φ = 23185152.

The previous prime is 87360997. The next prime is 87361039. The reversal of 87361020 is 2016378.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40899 + ... + 42981.

It is an arithmetic number, because the mean of its divisors is an integer number (3698058).

Almost surely, 287361020 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 87361020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133130088).

87361020 is an abundant number, since it is smaller than the sum of its proper divisors (178899156).

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

87361020 is a wasteful number, since it uses less digits than its factorization.

87361020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2331 (or 2326 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 87361020 is about 9346.7117212419. The cubic root of 87361020 is about 443.7168269852.

Adding to 87361020 its reverse (2016378), we get a palindrome (89377398).

The spelling of 87361020 in words is "eighty-seven million, three hundred sixty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 233 466 699 932 1165 1398 2083 2097 2330 2796 3495 4166 4194 4660 6249 6990 8332 8388 10415 10485 12498 13980 18747 20830 20970 24996 31245 37494 41660 41940 62490 74988 93735 124980 187470 374940 485339 970678 1456017 1941356 2426695 2912034 4368051 4853390 5824068 7280085 8736102 9706780 14560170 17472204 21840255 29120340 43680510 87361020