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2050132080 = 243516751151
BaseRepresentation
bin111101000110010…
…1000100001110000
312021212200111111210
41322030220201300
513144313211310
6535233240120
7101542556313
oct17214504160
95255614453
102050132080
11962278637
12492703040
1326897a909
141563c897a
15beeb6820
hex7a328870

2050132080 has 80 divisors (see below), whose sum is σ = 6393590784. Its totient is φ = 543417600.

The previous prime is 2050132079. The next prime is 2050132093. The reversal of 2050132080 is 802310502.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 14505 + ... + 65655.

Almost surely, 22050132080 is an apocalyptic number.

2050132080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2050132080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3196795392).

2050132080 is an abundant number, since it is smaller than the sum of its proper divisors (4343458704).

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

2050132080 is a wasteful number, since it uses less digits than its factorization.

2050132080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51334 (or 51328 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 2050132080 is about 45278.3842467904. The cubic root of 2050132080 is about 1270.3613744186.

Adding to 2050132080 its reverse (802310502), we get a palindrome (2852442582).

The spelling of 2050132080 in words is "two billion, fifty million, one hundred thirty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 167 240 334 501 668 835 1002 1336 1670 2004 2505 2672 3340 4008 5010 6680 8016 10020 13360 20040 40080 51151 102302 153453 204604 255755 306906 409208 511510 613812 767265 818416 1023020 1227624 1534530 2046040 2455248 3069060 4092080 6138120 8542217 12276240 17084434 25626651 34168868 42711085 51253302 68337736 85422170 102506604 128133255 136675472 170844340 205013208 256266510 341688680 410026416 512533020 683377360 1025066040 2050132080