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2104003540 = 2255311171777
BaseRepresentation
bin111110101101000…
…1000101111010100
312102122001110021001
41331122020233110
513302111103130
6544440033044
7103065510052
oct17532105724
95378043231
102104003540
1198a723001
124a8762784
13276b90212
1415d60d1d2
15c4aa86ca
hex7d688bd4

2104003540 has 48 divisors (see below), whose sum is σ = 4508339472. Its totient is φ = 824518656.

The previous prime is 2104003523. The next prime is 2104003541. The reversal of 2104003540 is 453004012.

It can be written as a sum of positive squares in 8 ways, for example, as 118766404 + 1985237136 = 10898^2 + 44556^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2104003541) by changing a digit.

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, 1183132 + ... + 1184908.

It is an arithmetic number, because the mean of its divisors is an integer number (93923739).

Almost surely, 22104003540 is an apocalyptic number.

2104003540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2104003540 is an abundant number, since it is smaller than the sum of its proper divisors (2404335932).

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

2104003540 is a wasteful number, since it uses less digits than its factorization.

2104003540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2956 (or 2954 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 2104003540 is about 45869.4183525364. The cubic root of 2104003540 is about 1281.3924340880.

Adding to 2104003540 its reverse (453004012), we get a palindrome (2557007552).

The spelling of 2104003540 in words is "two billion, one hundred four million, three thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 1117 1777 2234 3554 4468 5585 7108 8885 11170 17770 22340 35540 59201 94181 118402 188362 236804 296005 376724 470905 592010 941810 1184020 1883620 1984909 3969818 7939636 9924545 19849090 39698180 105200177 210400354 420800708 526000885 1052001770 2104003540