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1271274004 = 2271113794019
BaseRepresentation
bin100101111000110…
…0001101000010100
310021121010102002101
41023301201220110
510100421232004
6330051451444
743334436130
oct11361415024
93247112071
101271274004
115a2667a80
122b58b6b84
131734bab50
14c0ba43c0
1576918ba4
hex4bc61a14

1271274004 has 96 divisors (see below), whose sum is σ = 3025612800. Its totient is φ = 451301760.

The previous prime is 1271273959. The next prime is 1271274007. The reversal of 1271274004 is 4004721721.

It is a super-2 number, since 2×12712740042 = 3232275186492384032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1271274007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 314307 + ... + 318325.

It is an arithmetic number, because the mean of its divisors is an integer number (31516800).

Almost surely, 21271274004 is an apocalyptic number.

1271274004 is a gapful number since it is divisible by the number (14) 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 1271274004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512806400).

1271274004 is an abundant number, since it is smaller than the sum of its proper divisors (1754338796).

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

1271274004 is a wasteful number, since it uses less digits than its factorization.

1271274004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4133 (or 4131 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 1271274004 is about 35654.9295890484. The cubic root of 1271274004 is about 1083.2941272649.

Adding to 1271274004 its reverse (4004721721), we get a palindrome (5275995725).

It can be divided in two parts, 127127 and 4004, that added together give a palindrome (131131).

The spelling of 1271274004 in words is "one billion, two hundred seventy-one million, two hundred seventy-four thousand, four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 79 91 143 154 158 182 286 308 316 364 553 572 869 1001 1027 1106 1738 2002 2054 2212 3476 4004 4019 4108 6083 7189 8038 11297 12166 14378 16076 22594 24332 28133 28756 44209 45188 52247 56266 79079 88418 104494 112532 158158 176836 208988 309463 316316 317501 365729 574717 618926 635002 731458 1149434 1237852 1270004 1462916 2222507 2298868 3492511 4023019 4127513 4445014 6985022 8046038 8255026 8890028 13970044 16092076 16510052 24447577 28892591 45402643 48895154 57785182 90805286 97790308 115570364 181610572 317818501 635637002 1271274004