Search a number
-
+
514515040 = 25513247363
BaseRepresentation
bin11110101010101…
…110000001100000
31022212011001221121
4132222232001200
52023203440130
6123015502024
715515206564
oct3652560140
91285131847
10514515040
11244480846
12124387914
1382797a90
144c4936a4
1530283d7a
hex1eaae060

514515040 has 48 divisors (see below), whose sum is σ = 1309050288. Its totient is φ = 189974016.

The previous prime is 514515031. The next prime is 514515049. The reversal of 514515040 is 40515415.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (514515031) and next prime (514515049).

It is a junction number, because it is equal to n+sod(n) for n = 514514996 and 514515014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514515049) 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 7 ways as a sum of consecutive naturals, for example, 121602 + ... + 125761.

It is an arithmetic number, because the mean of its divisors is an integer number (27271881).

Almost surely, 2514515040 is an apocalyptic number.

It is an amenable number.

514515040 is an abundant number, since it is smaller than the sum of its proper divisors (794535248).

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

514515040 is a wasteful number, since it uses less digits than its factorization.

514515040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247391 (or 247383 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The square root of 514515040 is about 22682.9239737738. The cubic root of 514515040 is about 801.3077776488.

The spelling of 514515040 in words is "five hundred fourteen million, five hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 247363 494726 989452 1236815 1978904 2473630 3215719 3957808 4947260 6431438 7915616 9894520 12862876 16078595 19789040 25725752 32157190 39578080 51451504 64314380 102903008 128628760 257257520 514515040