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515426340 = 2235111324621
BaseRepresentation
bin11110101110001…
…100100000100100
31022220212101000110
4132232030200210
52023422120330
6123051213020
715526023462
oct3656144044
91286771013
10515426340
11244a43490
12124747170
1382a26800
144c64d832
15303b3db0
hex1eb8c824

515426340 has 144 divisors (see below), whose sum is σ = 1705185216. Its totient is φ = 115315200.

The previous prime is 515426321. The next prime is 515426341. The reversal of 515426340 is 43624515.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 515426298 and 515426307.

It is not an unprimeable number, because it can be changed into a prime (515426341) 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 47 ways as a sum of consecutive naturals, for example, 109230 + ... + 113850.

It is an arithmetic number, because the mean of its divisors is an integer number (11841564).

Almost surely, 2515426340 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 515426340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852592608).

515426340 is an abundant number, since it is smaller than the sum of its proper divisors (1189758876).

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

515426340 is a wasteful number, since it uses less digits than its factorization.

515426340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4670 (or 4655 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 515426340 is about 22703.0028850811. The cubic root of 515426340 is about 801.7805860348.

The spelling of 515426340 in words is "five hundred fifteen million, four hundred twenty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 130 132 143 156 165 169 195 220 260 286 330 338 390 429 507 572 660 676 715 780 845 858 1014 1430 1690 1716 1859 2028 2145 2535 2860 3380 3718 4290 4621 5070 5577 7436 8580 9242 9295 10140 11154 13863 18484 18590 22308 23105 27726 27885 37180 46210 50831 55452 55770 60073 69315 92420 101662 111540 120146 138630 152493 180219 203324 240292 254155 277260 300365 304986 360438 508310 600730 609972 660803 720876 762465 780949 901095 1016620 1201460 1321606 1524930 1561898 1802190 1982409 2342847 2643212 3049860 3123796 3304015 3604380 3904745 3964818 4685694 6608030 7809490 7929636 8590439 9371388 9912045 11714235 13216060 15618980 17180878 19824090 23428470 25771317 34361756 39648180 42952195 46856940 51542634 85904390 103085268 128856585 171808780 257713170 515426340