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2139430104 = 233371738179
BaseRepresentation
bin111111110000101…
…0001110011011000
312112002201022101000
41333201101303120
513340143230404
6552143225000
7104005566360
oct17741216330
95462638330
102139430104
119a871a559
124b85a8160
13281315196
141641d19a0
15c7c55339
hex7f851cd8

2139430104 has 128 divisors (see below), whose sum is σ = 6831936000. Its totient is φ = 607658112.

The previous prime is 2139430103. The next prime is 2139430121. The reversal of 2139430104 is 4010349312.

2139430104 is a `hidden beast` number, since 213 + 9 + 430 + 10 + 4 = 666.

It is a super-2 number, since 2×21394301042 = 9154322339802901632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2139430103) 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 31 ways as a sum of consecutive naturals, for example, 257487 + ... + 265665.

It is an arithmetic number, because the mean of its divisors is an integer number (53374500).

Almost surely, 22139430104 is an apocalyptic number.

2139430104 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 2139430104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3415968000).

2139430104 is an abundant number, since it is smaller than the sum of its proper divisors (4692505896).

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

2139430104 is a wasteful number, since it uses less digits than its factorization.

2139430104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8374 (or 8364 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2139430104 is about 46253.9739265720. The cubic root of 2139430104 is about 1288.5443396349.

Adding to 2139430104 its reverse (4010349312), we get a palindrome (6149779416).

The spelling of 2139430104 in words is "two billion, one hundred thirty-nine million, four hundred thirty thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 173 189 216 252 346 378 504 519 692 756 1038 1211 1384 1512 1557 2076 2422 3114 3633 4152 4671 4844 6228 7266 8179 9342 9688 10899 12456 14532 16358 18684 21798 24537 29064 32697 32716 37368 43596 49074 57253 65394 65432 73611 87192 98148 114506 130788 147222 171759 196296 220833 229012 261576 294444 343518 441666 458024 515277 588888 687036 883332 1030554 1374072 1414967 1545831 1766664 2061108 2829934 3091662 4122216 4244901 5659868 6183324 8489802 9904769 11319736 12366648 12734703 16979604 19809538 25469406 29714307 33959208 38204109 39619076 50938812 59428614 76408218 79238152 89142921 101877624 118857228 152816436 178285842 237714456 267428763 305632872 356571684 534857526 713143368 1069715052 2139430104