Search a number
-
+
514165840 = 24519338267
BaseRepresentation
bin11110101001011…
…000110001010000
31022211111022221021
4132221120301100
52023111301330
6123004205224
715512223526
oct3651306120
91284438837
10514165840
11244262451
12124239814
13826a4b56
144c402316
153021567a
hex1ea58c50

514165840 has 40 divisors (see below), whose sum is σ = 1258356960. Its totient is φ = 194841216.

The previous prime is 514165837. The next prime is 514165843. The reversal of 514165840 is 48561415.

It is an interprime number because it is at equal distance from previous prime (514165837) and next prime (514165843).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×5141658402 = 528733022045811200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 514165796 and 514165805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514165843) 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, 167614 + ... + 170653.

It is an arithmetic number, because the mean of its divisors is an integer number (31458924).

Almost surely, 2514165840 is an apocalyptic number.

It is an amenable number.

514165840 is an abundant number, since it is smaller than the sum of its proper divisors (744191120).

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

514165840 is a wasteful number, since it uses less digits than its factorization.

514165840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338299 (or 338293 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 514165840 is about 22675.2252469518. The cubic root of 514165840 is about 801.1264547967.

The spelling of 514165840 in words is "five hundred fourteen million, one hundred sixty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 338267 676534 1353068 1691335 2706136 3382670 5412272 6427073 6765340 12854146 13530680 25708292 27061360 32135365 51416584 64270730 102833168 128541460 257082920 514165840