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505216980 = 22335935587
BaseRepresentation
bin11110000111001…
…111111111010100
31022012122200102000
4132013033333110
52013313420410
6122044315300
715343162542
oct3607177724
91265580360
10505216980
1123a1aaaa4
12121242b30
1380890878
144b152d92
152e548dc0
hex1e1cffd4

505216980 has 48 divisors (see below), whose sum is σ = 1571787840. Its totient is φ = 134724384.

The previous prime is 505216969. The next prime is 505216991. The reversal of 505216980 is 89612505.

It is a happy number.

505216980 is a `hidden beast` number, since 50 + 521 + 6 + 9 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (505216969) and next prime (505216991).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 467254 + ... + 468333.

It is an arithmetic number, because the mean of its divisors is an integer number (32745580).

Almost surely, 2505216980 is an apocalyptic number.

It is an amenable number.

505216980 is an abundant number, since it is smaller than the sum of its proper divisors (1066570860).

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

505216980 is a wasteful number, since it uses less digits than its factorization.

505216980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935605 (or 935597 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 505216980 is about 22477.0322774160. The cubic root of 505216980 is about 796.4514601876.

The spelling of 505216980 in words is "five hundred five million, two hundred sixteen thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 935587 1871174 2806761 3742348 4677935 5613522 8420283 9355870 11227044 14033805 16840566 18711740 25260849 28067610 33681132 42101415 50521698 56135220 84202830 101043396 126304245 168405660 252608490 505216980