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515000040 = 233517376823
BaseRepresentation
bin11110101100100…
…100011011101000
31022220001201020120
4132230210123220
52023320000130
6123034123240
715522266562
oct3654443350
91286051216
10515000040
11244782175
12124580520
1382907769
144c57c332
153032c910
hex1eb246e8

515000040 has 128 divisors (see below), whose sum is σ = 1680341760. Its totient is φ = 125743104.

The previous prime is 515000033. The next prime is 515000041. The reversal of 515000040 is 40000515.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 514999983 and 515000019.

It is not an unprimeable number, because it can be changed into a prime (515000041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72069 + ... + 78891.

It is an arithmetic number, because the mean of its divisors is an integer number (13127670).

Almost surely, 2515000040 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 515000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840170880).

515000040 is an abundant number, since it is smaller than the sum of its proper divisors (1165341720).

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

515000040 is a wasteful number, since it uses less digits than its factorization.

515000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6891 (or 6887 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 515000040 is about 22693.6123171257. The cubic root of 515000040 is about 801.5594788900.

Adding to 515000040 its reverse (40000515), we get a palindrome (555000555).

The spelling of 515000040 in words is "five hundred fifteen million, forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 37 40 51 60 68 74 85 102 111 120 136 148 170 185 204 222 255 296 340 370 408 444 510 555 629 680 740 888 1020 1110 1258 1480 1887 2040 2220 2516 3145 3774 4440 5032 6290 6823 7548 9435 12580 13646 15096 18870 20469 25160 27292 34115 37740 40938 54584 68230 75480 81876 102345 115991 136460 163752 204690 231982 252451 272920 347973 409380 463964 504902 579955 695946 757353 818760 927928 1009804 1159910 1262255 1391892 1514706 1739865 2019608 2319820 2524510 2783784 3029412 3479730 3786765 4291667 4639640 5049020 6058824 6959460 7573530 8583334 10098040 12875001 13918920 15147060 17166668 21458335 25750002 30294120 34333336 42916670 51500004 64375005 85833340 103000008 128750010 171666680 257500020 515000040