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2104133440 = 26510363839
BaseRepresentation
bin111110101101010…
…1000011101000000
312102122022001110011
41331122220131000
513302124232230
6544442514304
7103066560553
oct17532503500
95378261404
102104133440
1198a801662
124a8805994
13276c07396
1415d64469a
15c4ad1e2a
hex7d6a8740

2104133440 has 56 divisors (see below), whose sum is σ = 5059192320. Its totient is φ = 833468928.

The previous prime is 2104133419. The next prime is 2104133441. The reversal of 2104133440 is 443314012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2104133441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1041 + ... + 64879.

It is an arithmetic number, because the mean of its divisors is an integer number (90342720).

Almost surely, 22104133440 is an apocalyptic number.

2104133440 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 2104133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2529596160).

2104133440 is an abundant number, since it is smaller than the sum of its proper divisors (2955058880).

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

2104133440 is a wasteful number, since it uses less digits than its factorization.

2104133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63959 (or 63949 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2104133440 is about 45870.8343067793. The cubic root of 2104133440 is about 1281.4188043623.

Adding to 2104133440 its reverse (443314012), we get a palindrome (2547447452).

The spelling of 2104133440 in words is "two billion, one hundred four million, one hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 103 160 206 320 412 515 824 1030 1648 2060 3296 4120 6592 8240 16480 32960 63839 127678 255356 319195 510712 638390 1021424 1276780 2042848 2553560 4085696 5107120 6575417 10214240 13150834 20428480 26301668 32877085 52603336 65754170 105206672 131508340 210413344 263016680 420826688 526033360 1052066720 2104133440