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515050020 = 223251729901
BaseRepresentation
bin11110101100110…
…000101000100100
31022220011020210200
4132230300220210
52023323100040
6123035150500
715522565362
oct3654605044
91286136720
10515050020
11244806781
121245a5430
1382924434
144c592632
153033c630
hex1eb30a24

515050020 has 108 divisors (see below), whose sum is σ = 1659793044. Its totient is φ = 129254400.

The previous prime is 515050013. The next prime is 515050021. The reversal of 515050020 is 20050515.

It can be written as a sum of positive squares in 6 ways, for example, as 125619264 + 389430756 = 11208^2 + 19734^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 515049975 and 515050002.

It is not an unprimeable number, because it can be changed into a prime (515050021) 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 35 ways as a sum of consecutive naturals, for example, 47070 + ... + 56970.

Almost surely, 2515050020 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 515050020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829896522).

515050020 is an abundant number, since it is smaller than the sum of its proper divisors (1144743024).

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

515050020 is a wasteful number, since it uses less digits than its factorization.

515050020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9950 (or 9928 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 18.

The square root of 515050020 is about 22694.7134813375. The cubic root of 515050020 is about 801.5854081092.

The spelling of 515050020 in words is "five hundred fifteen million, fifty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 289 306 340 510 578 612 765 867 1020 1156 1445 1530 1734 2601 2890 3060 3468 4335 5202 5780 8670 9901 10404 13005 17340 19802 26010 29703 39604 49505 52020 59406 89109 99010 118812 148515 168317 178218 198020 297030 336634 356436 445545 504951 594060 673268 841585 891090 1009902 1514853 1683170 1782180 2019804 2524755 2861389 3029706 3366340 5049510 5722778 6059412 7574265 8584167 10099020 11445556 14306945 15148530 17168334 25752501 28613890 30297060 34336668 42920835 51505002 57227780 85841670 103010004 128762505 171683340 257525010 515050020