Search a number
-
+
514260404 = 2271723107439
BaseRepresentation
bin11110101001101…
…111110110110100
31022211200010122122
4132221233312310
52023122313104
6123010215112
715513066320
oct3651576664
91284603578
10514260404
112443174a9
12124284498
1382708bc8
144c428980
15302336be
hex1ea6fdb4

514260404 has 96 divisors (see below), whose sum is σ = 1149603840. Its totient is φ = 196111872.

The previous prime is 514260391. The next prime is 514260407. The reversal of 514260404 is 404062415.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514260407) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1171217 + ... + 1171655.

It is an arithmetic number, because the mean of its divisors is an integer number (11975040).

Almost surely, 2514260404 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 514260404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574801920).

514260404 is an abundant number, since it is smaller than the sum of its proper divisors (635343436).

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

514260404 is a wasteful number, since it uses less digits than its factorization.

514260404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 514260404 is about 22677.3103343408. The cubic root of 514260404 is about 801.1755654612.

The spelling of 514260404 in words is "five hundred fourteen million, two hundred sixty thousand, four hundred four".

Divisors: 1 2 4 7 14 17 23 28 34 46 68 92 107 119 161 214 238 322 391 428 439 476 644 749 782 878 1498 1564 1756 1819 2461 2737 2996 3073 3638 4922 5474 6146 7276 7463 9844 10097 10948 12292 12733 14926 17227 20194 25466 29852 34454 40388 41837 46973 50932 52241 68908 70679 83674 93946 104482 141358 167348 171649 187892 208964 282716 292859 328811 343298 585718 657622 686596 798541 1080379 1171436 1201543 1315244 1597082 2160758 2403086 3194164 4321516 4806172 5589787 7562653 11179574 15125306 18366443 22359148 30250612 36732886 73465772 128565101 257130202 514260404