Search a number
-
+
2109038904 = 233371782051
BaseRepresentation
bin111110110110101…
…0110000100111000
312102222112021111000
41331231112010320
513304403221104
6545140005000
7103156351320
oct17555260470
95388467430
102109038904
11992552165
124aa390760
13277c3411b
14160160280
15c5250639
hex7db56138

2109038904 has 128 divisors (see below), whose sum is σ = 7089292800. Its totient is φ = 567129600.

The previous prime is 2109038879. The next prime is 2109038917. The reversal of 2109038904 is 4098309012.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 15322 + ... + 66729.

It is an arithmetic number, because the mean of its divisors is an integer number (55385100).

Almost surely, 22109038904 is an apocalyptic number.

2109038904 is a gapful number since it is divisible by the number (24) 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 2109038904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3544646400).

2109038904 is an abundant number, since it is smaller than the sum of its proper divisors (4980253896).

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

2109038904 is a wasteful number, since it uses less digits than its factorization.

2109038904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82090 (or 82080 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2109038904 is about 45924.2735816257. The cubic root of 2109038904 is about 1282.4138418917.

The spelling of 2109038904 in words is "two billion, one hundred nine million, thirty-eight thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 27 28 34 36 42 51 54 56 63 68 72 84 102 108 119 126 136 153 168 189 204 216 238 252 306 357 378 408 459 476 504 612 714 756 918 952 1071 1224 1428 1512 1836 2142 2856 3213 3672 4284 6426 8568 12852 25704 82051 164102 246153 328204 492306 574357 656408 738459 984612 1148714 1394867 1476918 1723071 1969224 2215377 2297428 2789734 2953836 3446142 4184601 4430754 4594856 5169213 5579468 5907672 6892284 8369202 8861508 9764069 10338426 11158936 12553803 13784568 15507639 16738404 17723016 19528138 20676852 25107606 29292207 31015278 33476808 37661409 39056276 41353704 50215212 58584414 62030556 75322818 78112552 87876621 100430424 117168828 124061112 150645636 175753242 234337656 263629863 301291272 351506484 527259726 703012968 1054519452 2109038904