Search a number
-
+
505050660 = 223352932251
BaseRepresentation
bin11110000110100…
…111011000100100
31022012100020021000
4132012213120210
52013243110120
6122040553300
715341600622
oct3606473044
91265306230
10505050660
1123a0a7044
12121182830
1380832c5a
144b10c512
152e514990
hex1e1a7624

505050660 has 96 divisors (see below), whose sum is σ = 1625500800. Its totient is φ = 130032000.

The previous prime is 505050653. The next prime is 505050661. The reversal of 505050660 is 66050505.

505050660 is a `hidden beast` number, since 50 + 50 + 506 + 60 = 666.

It is a super-3 number, since 3×5050506603 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (505050661) 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, 466 + ... + 31785.

It is an arithmetic number, because the mean of its divisors is an integer number (16932300).

Almost surely, 2505050660 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 505050660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812750400).

505050660 is an abundant number, since it is smaller than the sum of its proper divisors (1120450140).

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

505050660 is a wasteful number, since it uses less digits than its factorization.

505050660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32298 (or 32290 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 505050660 is about 22473.3321961831. The cubic root of 505050660 is about 796.3640519710.

The spelling of 505050660 in words is "five hundred five million, fifty thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 87 90 108 116 135 145 174 180 261 270 290 348 435 522 540 580 783 870 1044 1305 1566 1740 2610 3132 3915 5220 7830 15660 32251 64502 96753 129004 161255 193506 290259 322510 387012 483765 580518 645020 870777 935279 967530 1161036 1451295 1741554 1870558 1935060 2805837 2902590 3483108 3741116 4353885 4676395 5611674 5805180 8417511 8707770 9352790 11223348 14029185 16835022 17415540 18705580 25252533 28058370 33670044 42087555 50505066 56116740 84175110 101010132 126262665 168350220 252525330 505050660