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2110104040 = 235118635557
BaseRepresentation
bin111110111000101…
…1010000111101000
312110001112101120111
41331301122013220
513310141312130
6545214504104
7103201405552
oct17561320750
95401471514
102110104040
1199310a440
124aa805034
13278217b95
1416035a4d2
15c53b102a
hex7dc5a1e8

2110104040 has 64 divisors (see below), whose sum is σ = 5186280960. Its totient is φ = 766283520.

The previous prime is 2110104011. The next prime is 2110104047. The reversal of 2110104040 is 404010112.

It is a self number, because there is not a number n which added to its sum of digits gives 2110104040.

It is not an unprimeable number, because it can be changed into a prime (2110104047) 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, 376942 + ... + 382498.

It is an arithmetic number, because the mean of its divisors is an integer number (81035640).

Almost surely, 22110104040 is an apocalyptic number.

2110104040 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 2110104040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2593140480).

2110104040 is an abundant number, since it is smaller than the sum of its proper divisors (3076176920).

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

2110104040 is a wasteful number, since it uses less digits than its factorization.

2110104040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6442 (or 6438 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2110104040 is about 45935.8687737589. The cubic root of 2110104040 is about 1282.6296930174.

Adding to 2110104040 its reverse (404010112), we get a palindrome (2514114152).

The spelling of 2110104040 in words is "two billion, one hundred ten million, one hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 863 1726 3452 4315 5557 6904 8630 9493 11114 17260 18986 22228 27785 34520 37972 44456 47465 55570 61127 75944 94930 111140 122254 189860 222280 244508 305635 379720 489016 611270 1222540 2445080 4795691 9591382 19182764 23978455 38365528 47956910 52752601 95913820 105505202 191827640 211010404 263763005 422020808 527526010 1055052020 2110104040