Search a number
-
+
507320216 = 231319733517
BaseRepresentation
bin11110001111010…
…001011110011000
31022100121112111122
4132033101132120
52014333221331
6122201344412
715400102454
oct3617213630
91270545448
10507320216
11240407207
12121a98108
1381148ca0
144b53d664
152e81217b
hex1e3d1798

507320216 has 64 divisors (see below), whose sum is σ = 1093394400. Its totient is φ = 218723328.

The previous prime is 507320207. The next prime is 507320221. The reversal of 507320216 is 612023705.

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 142490 + ... + 146006.

Almost surely, 2507320216 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 507320216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546697200).

507320216 is an abundant number, since it is smaller than the sum of its proper divisors (586074184).

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

507320216 is a wasteful number, since it uses less digits than its factorization.

507320216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3628 (or 3624 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 507320216 is about 22523.7700219124. The cubic root of 507320216 is about 797.5551484876. Note that the first 3 decimals are identical.

The spelling of 507320216 in words is "five hundred seven million, three hundred twenty thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 19 26 38 52 73 76 104 146 152 247 292 494 584 949 988 1387 1898 1976 2774 3517 3796 5548 7034 7592 11096 14068 18031 28136 36062 45721 66823 72124 91442 133646 144248 182884 256741 267292 365768 513482 534584 868699 1026964 1737398 2053928 3337633 3474796 4878079 6675266 6949592 9756158 13350532 19512316 26701064 39024632 63415027 126830054 253660108 507320216