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1005838394 = 21126121117
BaseRepresentation
bin111011111100111…
…110000000111010
32121002122212212212
4323330332000322
54024443312034
6243450335122
733632325311
oct7374760072
92532585785
101005838394
11476851300
12240a2a4a2
13130502762
149782b278
155d4862ce
hex3bf3e03a

1005838394 has 36 divisors (see below), whose sum is σ = 1687528206. Its totient is φ = 449301600.

The previous prime is 1005838387. The next prime is 1005838403. The reversal of 1005838394 is 4938385001.

It can be written as a sum of positive squares in 3 ways, for example, as 80766169 + 925072225 = 8987^2 + 30415^2 .

It is a super-3 number, since 3×10058383943 (a number of 28 digits) contains 333 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 899924 + ... + 901040.

Almost surely, 21005838394 is an apocalyptic number.

1005838394 is a deficient number, since it is larger than the sum of its proper divisors (681689812).

1005838394 is a wasteful number, since it uses less digits than its factorization.

1005838394 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 1005838394 is about 31714.9553680909. The cubic root of 1005838394 is about 1001.9423561433.

The spelling of 1005838394 in words is "one billion, five million, eight hundred thirty-eight thousand, three hundred ninety-four".

Divisors: 1 2 11 22 61 121 122 242 671 1117 1342 2234 3721 7381 7442 12287 14762 24574 40931 68137 81862 135157 136274 270314 450241 749507 900482 1499014 4156357 8244577 8312714 16489154 45719927 91439854 502919197 1005838394