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87490060 = 225719311061
BaseRepresentation
bin1010011011011…
…11111000001100
320002121221210121
411031233320030
5134344140220
612403114324
72111440030
oct515577014
9202557717
1087490060
1145427639
12253729a4
1315183688
14b8961c0
157a32eaa
hex536fe0c

87490060 has 96 divisors (see below), whose sum is σ = 228372480. Its totient is φ = 27475200.

The previous prime is 87490057. The next prime is 87490061. The reversal of 87490060 is 6009478.

It is a junction number, because it is equal to n+sod(n) for n = 87489998 and 87490025.

It is not an unprimeable number, because it can be changed into a prime (87490061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81930 + ... + 82990.

It is an arithmetic number, because the mean of its divisors is an integer number (2378880).

Almost surely, 287490060 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 87490060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114186240).

87490060 is an abundant number, since it is smaller than the sum of its proper divisors (140882420).

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

87490060 is a wasteful number, since it uses less digits than its factorization.

87490060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 87490060 is about 9353.6121364957. The cubic root of 87490060 is about 443.9351892523.

The spelling of 87490060 in words is "eighty-seven million, four hundred ninety thousand, sixty".

Divisors: 1 2 4 5 7 10 14 19 20 28 31 35 38 62 70 76 95 124 133 140 155 190 217 266 310 380 434 532 589 620 665 868 1061 1085 1178 1330 2122 2170 2356 2660 2945 4123 4244 4340 5305 5890 7427 8246 10610 11780 14854 16492 20159 20615 21220 29708 32891 37135 40318 41230 65782 74270 80636 82460 100795 131564 141113 148540 164455 201590 230237 282226 328910 403180 460474 564452 624929 657820 705565 920948 1151185 1249858 1411130 2302370 2499716 2822260 3124645 4374503 4604740 6249290 8749006 12498580 17498012 21872515 43745030 87490060