Search a number
-
+
507142580 = 225717320939
BaseRepresentation
bin11110001110100…
…110000110110100
31022100021111211112
4132032212012310
52014312030310
6122153454152
715365432540
oct3616460664
91270244745
10507142580
112402a57aa
12121a11358
13810b6189
144b4d4a20
152e7c9705
hex1e3a61b4

507142580 has 48 divisors (see below), whose sum is σ = 1224236160. Its totient is φ = 172864128.

The previous prime is 507142579. The next prime is 507142591. The reversal of 507142580 is 85241705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13751 + ... + 34689.

It is an arithmetic number, because the mean of its divisors is an integer number (25504920).

Almost surely, 2507142580 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 507142580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612118080).

507142580 is an abundant number, since it is smaller than the sum of its proper divisors (717093580).

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

507142580 is a wasteful number, since it uses less digits than its factorization.

507142580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21128 (or 21126 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 32.

The square root of 507142580 is about 22519.8263758849. The cubic root of 507142580 is about 797.4620507815.

The spelling of 507142580 in words is "five hundred seven million, one hundred forty-two thousand, five hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 173 346 692 865 1211 1730 2422 3460 4844 6055 12110 20939 24220 41878 83756 104695 146573 209390 293146 418780 586292 732865 1465730 2931460 3622447 7244894 14489788 18112235 25357129 36224470 50714258 72448940 101428516 126785645 253571290 507142580