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2105304192 = 27327972293
BaseRepresentation
bin111110101111100…
…0110010010000000
312102201111112102100
41331133012102000
513302424213232
6544523550400
7103112535045
oct17537062200
95381445370
102105304192
11990431222
124a908b400
13277227234
1415d86b1cc
15c4c63c7c
hex7d7c6480

2105304192 has 96 divisors (see below), whose sum is σ = 6068478780. Its totient is φ = 700581888.

The previous prime is 2105304151. The next prime is 2105304193. The reversal of 2105304192 is 2914035012.

2105304192 is a `hidden beast` number, since 2 + 1 + 0 + 530 + 41 + 92 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2077171776 + 28132416 = 45576^2 + 5304^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2105304193) 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, 916998 + ... + 919290.

Almost surely, 22105304192 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 2105304192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3034239390).

2105304192 is an abundant number, since it is smaller than the sum of its proper divisors (3963174588).

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

2105304192 is a wasteful number, since it uses less digits than its factorization.

2105304192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3110 (or 3095 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2105304192 is about 45883.5939307287. The cubic root of 2105304192 is about 1281.6564232384.

The spelling of 2105304192 in words is "two billion, one hundred five million, three hundred four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 797 1152 1594 2293 2391 3188 4586 4782 6376 6879 7173 9172 9564 12752 13758 14346 18344 19128 20637 25504 27516 28692 36688 38256 41274 51008 55032 57384 73376 76512 82548 102016 110064 114768 146752 153024 165096 220128 229536 293504 306048 330192 440256 459072 660384 880512 918144 1320768 1827521 2641536 3655042 5482563 7310084 10965126 14620168 16447689 21930252 29240336 32895378 43860504 58480672 65790756 87721008 116961344 131581512 175442016 233922688 263163024 350884032 526326048 701768064 1052652096 2105304192