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515134020 = 223561971451
BaseRepresentation
bin11110101101000…
…101001001000100
31022220022112000210
4132231011021010
52023333242040
6123041035420
715523365312
oct3655051104
91286275023
10515134020
112448638a5
12124625b70
138295373b
144c5b50b2
1530357480
hex1eb45244

515134020 has 96 divisors (see below), whose sum is σ = 1482155136. Its totient is φ = 133632000.

The previous prime is 515134019. The next prime is 515134031. The reversal of 515134020 is 20431515.

It is a super-2 number, since 2×5151340202 = 530726117122720800, which contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 354295 + ... + 355745.

It is an arithmetic number, because the mean of its divisors is an integer number (15439116).

Almost surely, 2515134020 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 515134020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741077568).

515134020 is an abundant number, since it is smaller than the sum of its proper divisors (967021116).

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

515134020 is a wasteful number, since it uses less digits than its factorization.

515134020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 515134020 is about 22696.5640571431. The cubic root of 515134020 is about 801.6289828505.

Adding to 515134020 its reverse (20431515), we get a palindrome (535565535).

The spelling of 515134020 in words is "five hundred fifteen million, one hundred thirty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 97 122 183 194 244 291 305 366 388 485 582 610 732 915 970 1164 1220 1451 1455 1830 1940 2902 2910 3660 4353 5804 5820 5917 7255 8706 11834 14510 17412 17751 21765 23668 29020 29585 35502 43530 59170 71004 87060 88511 88755 118340 140747 177022 177510 265533 281494 354044 355020 422241 442555 531066 562988 703735 844482 885110 1062132 1327665 1407470 1688964 1770220 2111205 2655330 2814940 4222410 5310660 8444820 8585567 17171134 25756701 34342268 42927835 51513402 85855670 103026804 128783505 171711340 257567010 515134020