Search a number
-
+
87052460 = 22511478419
BaseRepresentation
bin1010011000001…
…01000010101100
320001210201112012
411030011002230
5134241134320
612345500352
72104635155
oct514050254
9201721465
1087052460
1145158890
12251a16b8
131505c441
14b7c092c
1579984c5
hex53050ac

87052460 has 48 divisors (see below), whose sum is σ = 203696640. Its totient is φ = 30978240.

The previous prime is 87052451. The next prime is 87052463. The reversal of 87052460 is 6425078.

It is not an unprimeable number, because it can be changed into a prime (87052463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6131 + ... + 14549.

It is an arithmetic number, because the mean of its divisors is an integer number (4243680).

Almost surely, 287052460 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 87052460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101848320).

87052460 is an abundant number, since it is smaller than the sum of its proper divisors (116644180).

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

87052460 is a wasteful number, since it uses less digits than its factorization.

87052460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8486 (or 8484 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 87052460 is about 9330.1907804717. The cubic root of 87052460 is about 443.1938066336.

The spelling of 87052460 in words is "eighty-seven million, fifty-two thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 188 220 235 470 517 940 1034 2068 2585 5170 8419 10340 16838 33676 42095 84190 92609 168380 185218 370436 395693 463045 791386 926090 1582772 1852180 1978465 3956930 4352623 7913860 8705246 17410492 21763115 43526230 87052460