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2104508406 = 2371113595939
BaseRepresentation
bin111110101110000…
…0011111111110110
312102200000002210210
41331130003333312
513302223232111
6544454530250
7103103012010
oct17534037766
95380002723
102104508406
1198aa38350
124a8966986
13277008c60
1415d7011b0
15c4b580a6
hex7d703ff6

2104508406 has 128 divisors (see below), whose sum is σ = 5748019200. Its totient is φ = 495941760.

The previous prime is 2104508389. The next prime is 2104508423. The reversal of 2104508406 is 6048054012.

It is an interprime number because it is at equal distance from previous prime (2104508389) and next prime (2104508423).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 351385 + ... + 357323.

It is an arithmetic number, because the mean of its divisors is an integer number (44906400).

Almost surely, 22104508406 is an apocalyptic number.

2104508406 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2104508406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2874009600).

2104508406 is an abundant number, since it is smaller than the sum of its proper divisors (3643510794).

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

2104508406 is a wasteful number, since it uses less digits than its factorization.

2104508406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6034.

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 2104508406 is about 45874.9213187336. The cubic root of 2104508406 is about 1281.4949180307.

The spelling of 2104508406 in words is "two billion, one hundred four million, five hundred eight thousand, four hundred six".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 59 66 77 78 91 118 143 154 177 182 231 273 286 354 413 429 462 546 649 767 826 858 1001 1239 1298 1534 1947 2002 2301 2478 3003 3894 4543 4602 5369 5939 6006 8437 9086 10738 11878 13629 16107 16874 17817 25311 27258 32214 35634 41573 50622 59059 65329 77207 83146 118118 124719 130658 154414 177177 195987 231621 249438 350401 354354 391974 457303 463242 540449 700802 849277 914606 1051203 1080898 1371909 1621347 1698554 2102406 2452807 2547831 2743818 3242694 3854411 4555213 4905614 5095662 5944939 7358421 7708822 9110426 11563233 11889878 13665639 14716842 17834817 23126466 26980877 27331278 31886491 35669634 50107343 53961754 63772982 80942631 95659473 100214686 150322029 161885262 191318946 300644058 350751401 701502802 1052254203 2104508406