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2000415076 = 221121921072
BaseRepresentation
bin111011100111011…
…1110100101100100
312011102010121121021
41313032332211210
513044101240301
6530255500524
7100400150632
oct16716764544
95142117537
102000415076
11937200500
12479b27744
1325b59127a
1414d966352
15ba9458a1
hex773be964

2000415076 has 81 divisors (see below), whose sum is σ = 4099395027. Its totient is φ = 853372080.

The previous prime is 2000415049. The next prime is 2000415097. The reversal of 2000415076 is 6705140002.

The square root of 2000415076 is 44726.

It is a perfect power (a square), and thus also a powerful number.

It is a self number, because there is not a number n which added to its sum of digits gives 2000415076.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18695415 + ... + 18695521.

Almost surely, 22000415076 is an apocalyptic number.

2000415076 is the 44726-th square number.

It is an amenable number.

2000415076 is an abundant number, since it is smaller than the sum of its proper divisors (2098979951).

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

2000415076 is a wasteful number, since it uses less digits than its factorization.

2000415076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The cubic root of 2000415076 is about 1260.0082043641.

Multiplying 2000415076 by its sum of digits (25), we get a square (50010376900 = 2236302).

Adding to 2000415076 its reverse (6705140002), we get a palindrome (8705555078).

The spelling of 2000415076 in words is "two billion, four hundred fifteen thousand, seventy-six".

Divisors: 1 2 4 11 19 22 38 44 76 107 121 209 214 242 361 418 428 484 722 836 1177 1444 2033 2299 2354 3971 4066 4598 4708 7942 8132 9196 11449 12947 15884 22363 22898 25894 38627 43681 44726 45796 51788 77254 87362 89452 125939 154508 174724 217531 245993 251878 424897 435062 491986 503756 849794 870124 983972 1385329 1699588 2392841 2770658 4133089 4673867 4785682 5541316 8266178 9347734 9571364 16532356 18695468 26321251 45463979 52642502 90927958 105285004 181855916 500103769 1000207538 2000415076