Search a number
-
+
515016090 = 233519100393
BaseRepresentation
bin11110101100101…
…000010110011010
31022220002112021000
4132230220112122
52023321003330
6123034325430
715522364431
oct3654502632
91286075230
10515016090
11244793236
12124589876
1382911b64
144c584118
1530332560
hex1eb2859a

515016090 has 64 divisors (see below), whose sum is σ = 1445673600. Its totient is φ = 130108032.

The previous prime is 515016053. The next prime is 515016091. The reversal of 515016090 is 90610515.

515016090 is a `hidden beast` number, since 5 + 1 + 50 + 1 + 609 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (515016091) 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, 45067 + ... + 55326.

It is an arithmetic number, because the mean of its divisors is an integer number (22588650).

Almost surely, 2515016090 is an apocalyptic number.

515016090 is an abundant number, since it is smaller than the sum of its proper divisors (930657510).

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

515016090 is a wasteful number, since it uses less digits than its factorization.

515016090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100428 (or 100422 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 515016090 is about 22693.9659381079. The cubic root of 515016090 is about 801.5678056829.

The spelling of 515016090 in words is "five hundred fifteen million, sixteen thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 513 570 855 1026 1710 2565 5130 100393 200786 301179 501965 602358 903537 1003930 1505895 1807074 1907467 2710611 3011790 3814934 4517685 5421222 5722401 9035370 9537335 11444802 13553055 17167203 19074670 27106110 28612005 34334406 51501609 57224010 85836015 103003218 171672030 257508045 515016090