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2104204032 = 28327130469
BaseRepresentation
bin111110101101011…
…1001101100000000
312102122102122021200
41331122321230000
513302134012112
6544444221200
7103100303430
oct17532715400
95378378250
102104204032
1198a84a6a7
124a883a800
13276c30558
1415d6622c0
15c4ae7cdc
hex7d6b9b00

2104204032 has 108 divisors (see below), whose sum is σ = 6933697680. Its totient is φ = 601196544.

The previous prime is 2104204031. The next prime is 2104204043. The reversal of 2104204032 is 2304024012.

2104204032 is a `hidden beast` number, since 210 + 420 + 4 + 0 + 32 = 666.

2104204032 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2104203996 and 2104204014.

It is not an unprimeable number, because it can be changed into a prime (2104204031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49107 + ... + 81362.

Almost surely, 22104204032 is an apocalyptic number.

It is an amenable number.

2104204032 is an abundant number, since it is smaller than the sum of its proper divisors (4829493648).

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

2104204032 is a wasteful number, since it uses less digits than its factorization.

2104204032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130498 (or 130481 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2104204032 is about 45871.6037652925. The cubic root of 2104204032 is about 1281.4331343953.

Adding to 2104204032 its reverse (2304024012), we get a palindrome (4408228044).

The spelling of 2104204032 in words is "two billion, one hundred four million, two hundred four thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 4032 5376 8064 16128 130469 260938 391407 521876 782814 913283 1043752 1174221 1565628 1826566 2087504 2348442 2739849 3131256 3653132 4175008 4696884 5479698 6262512 7306264 8219547 8350016 9393768 10959396 12525024 14612528 16439094 16700032 18787536 21918792 25050048 29225056 32878188 33400064 37575072 43837584 50100096 58450112 65756376 75150144 87675168 100200192 116900224 131512752 150300288 175350336 233800448 263025504 300600576 350700672 526051008 701401344 1052102016 2104204032