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514000460 = 22531247569
BaseRepresentation
bin11110101000110…
…000011001001100
31022211011221002002
4132220300121030
52023041003320
6123000451432
715510634421
oct3650603114
91284157062
10514000460
1124415a176
12124179b78
13826477ac
144c39bd48
15301d1675
hex1ea3064c

514000460 has 72 divisors (see below), whose sum is σ = 1141076160. Its totient is φ = 194392320.

The previous prime is 514000441. The next prime is 514000463. The reversal of 514000460 is 64000415.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (514000463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 903056 + ... + 903624.

It is an arithmetic number, because the mean of its divisors is an integer number (15848280).

Almost surely, 2514000460 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 514000460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570538080).

514000460 is an abundant number, since it is smaller than the sum of its proper divisors (627075700).

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

514000460 is a wasteful number, since it uses less digits than its factorization.

514000460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 514000460 is about 22671.5782423721. The cubic root of 514000460 is about 801.0405522270.

Adding to 514000460 its reverse (64000415), we get a palindrome (578000875).

The spelling of 514000460 in words is "five hundred fourteen million, four hundred sixty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 31 47 62 94 124 155 188 235 310 470 569 620 940 961 1138 1457 1922 2276 2845 2914 3844 4805 5690 5828 7285 9610 11380 14570 17639 19220 26743 29140 35278 45167 53486 70556 88195 90334 106972 133715 176390 180668 225835 267430 352780 451670 534860 546809 829033 903340 1093618 1658066 2187236 2734045 3316132 4145165 5468090 8290330 10936180 16580660 25700023 51400046 102800092 128500115 257000230 514000460