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87000120 = 23325241667
BaseRepresentation
bin1010010111110…
…00010000111000
320001201001201200
411023320100320
5134233000440
612344414200
72104326444
oct513702070
9201631650
1087000120
1145122529
1225177360
131504167c
14b7a9824
157987c30
hex52f8438

87000120 has 48 divisors (see below), whose sum is σ = 282751560. Its totient is φ = 23199936.

The previous prime is 87000119. The next prime is 87000127. The reversal of 87000120 is 2100078.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 87000093 and 87000102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87000127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120474 + ... + 121193.

Almost surely, 287000120 is an apocalyptic number.

It is an amenable number.

87000120 is an abundant number, since it is smaller than the sum of its proper divisors (195751440).

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

87000120 is a wasteful number, since it uses less digits than its factorization.

87000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241684 (or 241677 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 87000120 is about 9327.3854857618. The cubic root of 87000120 is about 443.1049658956.

Adding to 87000120 its reverse (2100078), we get a palindrome (89100198).

The spelling of 87000120 in words is "eighty-seven million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 241667 483334 725001 966668 1208335 1450002 1933336 2175003 2416670 2900004 3625005 4350006 4833340 5800008 7250010 8700012 9666680 10875015 14500020 17400024 21750030 29000040 43500060 87000120