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2104434112 = 26115356401
BaseRepresentation
bin111110101101111…
…0001110111000000
312102122212022220011
41331123301313000
513302213342422
6544453154304
7103102252264
oct17533616700
95378768804
102104434112
1198a997550
124a892b994
13276cb11b1
1415d6c20a4
15c4b41077
hex7d6f1dc0

2104434112 has 56 divisors (see below), whose sum is σ = 4641658992. Its totient is φ = 938496000.

The previous prime is 2104434083. The next prime is 2104434127. The reversal of 2104434112 is 2114344012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9112 + ... + 65512.

Almost surely, 22104434112 is an apocalyptic number.

2104434112 is a gapful number since it is divisible by the number (22) 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 2104434112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2320829496).

2104434112 is an abundant number, since it is smaller than the sum of its proper divisors (2537224880).

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

2104434112 is a wasteful number, since it uses less digits than its factorization.

2104434112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56477 (or 56467 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 2104434112 is about 45874.1115663290. Note that the first 3 decimals coincide. The cubic root of 2104434112 is about 1281.4798379446.

Adding to 2104434112 its reverse (2114344012), we get a palindrome (4218778124).

The spelling of 2104434112 in words is "two billion, one hundred four million, four hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 53 64 88 106 176 212 352 424 583 704 848 1166 1696 2332 3392 4664 9328 18656 37312 56401 112802 225604 451208 620411 902416 1240822 1804832 2481644 2989253 3609664 4963288 5978506 9926576 11957012 19853152 23914024 32881783 39706304 47828048 65763566 95656096 131527132 191312192 263054264 526108528 1052217056 2104434112