Search a number
-
+
2054621040 = 243516751263
BaseRepresentation
bin111101001110111…
…0000011101110000
312022012010120012120
41322131300131300
513201440333130
6535513354240
7101625663543
oct17235603560
95265116176
102054621040
1196486421a
12494108980
1326988cbc4
14156c3685a
15c05a1910
hex7a770770

2054621040 has 80 divisors (see below), whose sum is σ = 6407589888. Its totient is φ = 544607488.

The previous prime is 2054620979. The next prime is 2054621053. The reversal of 2054621040 is 401264502.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2054621040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14449 + ... + 65711.

Almost surely, 22054621040 is an apocalyptic number.

2054621040 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 2054621040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3203794944).

2054621040 is an abundant number, since it is smaller than the sum of its proper divisors (4352968848).

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

2054621040 is a wasteful number, since it uses less digits than its factorization.

2054621040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51446 (or 51440 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2054621040 is about 45327.9278149796. The cubic root of 2054621040 is about 1271.2878910361.

Adding to 2054621040 its reverse (401264502), we get a palindrome (2455885542).

The spelling of 2054621040 in words is "two billion, fifty-four million, six hundred twenty-one thousand, forty".

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 51263 102526 153789 205052 256315 307578 410104 512630 615156 768945 820208 1025260 1230312 1537890 2050520 2460624 3075780 4101040 6151560 8560921 12303120 17121842 25682763 34243684 42804605 51365526 68487368 85609210 102731052 128413815 136974736 171218420 205462104 256827630 342436840 410924208 513655260 684873680 1027310520 2054621040