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2105004408 = 23313311032113
BaseRepresentation
bin111110101110111…
…1101000101111000
312102200221022012020
41331131331011320
513302340120113
6544513314440
7103110146043
oct17535750570
95380838166
102105004408
11990246a71
124a8b65a20
13277150950
1415d7cdc5a
15c4c05023
hex7d77d178

2105004408 has 128 divisors (see below), whose sum is σ = 5909729280. Its totient is φ = 620421120.

The previous prime is 2105004389. The next prime is 2105004437. The reversal of 2105004408 is 8044005012.

It is a hoax number, since the sum of its digits (24) 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 (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 995160 + ... + 997272.

It is an arithmetic number, because the mean of its divisors is an integer number (46169760).

Almost surely, 22105004408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2105004408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2954864640).

2105004408 is an abundant number, since it is smaller than the sum of its proper divisors (3804724872).

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

2105004408 is a wasteful number, since it uses less digits than its factorization.

2105004408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2269 (or 2265 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 2105004408 is about 45880.3270258615. The cubic root of 2105004408 is about 1281.5955866890.

The spelling of 2105004408 in words is "two billion, one hundred five million, four thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 103 104 124 156 186 206 248 309 312 372 403 412 618 744 806 824 1209 1236 1339 1612 2113 2418 2472 2678 3193 3224 4017 4226 4836 5356 6339 6386 8034 8452 9579 9672 10712 12678 12772 16068 16904 19158 25356 25544 27469 32136 38316 41509 50712 54938 65503 76632 82407 83018 109876 124527 131006 164814 166036 196509 217639 219752 249054 262012 329628 332072 393018 435278 498108 524024 652917 659256 786036 851539 870556 996216 1305834 1572072 1703078 1741112 2554617 2611668 2829307 3406156 5109234 5223336 5658614 6746809 6812312 8487921 10218468 11317228 13493618 16975842 20240427 20436936 22634456 26987236 33951684 40480854 53974472 67903368 80961708 87708517 161923416 175417034 263125551 350834068 526251102 701668136 1052502204 2105004408