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1001061376 = 2107271281
BaseRepresentation
bin111011101010101…
…111110000000000
32120202200012001021
4323222233300000
54022232431001
6243200115224
733543611200
oct7352576000
92522605037
101001061376
11474089257
1223b305b14
1312c51c313
1496d46400
155cd40ba1
hex3baafc00

1001061376 has 132 divisors (see below), whose sum is σ = 2369050416. Its totient is φ = 421478400.

The previous prime is 1001061367. The next prime is 1001061401. The reversal of 1001061376 is 6731601001.

It is a happy number.

1001061376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1001061376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3562356 + ... + 3562636.

Almost surely, 21001061376 is an apocalyptic number.

1001061376 is a gapful number since it is divisible by the number (16) 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 1001061376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184525208).

1001061376 is an abundant number, since it is smaller than the sum of its proper divisors (1367989040).

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

1001061376 is an equidigital number, since it uses as much as digits as its factorization.

1001061376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 1001061376 is about 31639.5539791572. The cubic root of 1001061376 is about 1000.3536669050.

Adding to 1001061376 its reverse (6731601001), we get a palindrome (7732662377).

The spelling of 1001061376 in words is "one billion, one million, sixty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 71 98 112 128 142 196 224 256 281 284 392 448 497 512 562 568 784 896 994 1024 1124 1136 1568 1792 1967 1988 2248 2272 3136 3479 3584 3934 3976 4496 4544 6272 6958 7168 7868 7952 8992 9088 12544 13769 13916 15736 15904 17984 18176 19951 25088 27538 27832 31472 31808 35968 36352 39902 50176 55076 55664 62944 63616 71936 72704 79804 110152 111328 125888 127232 139657 143872 159608 220304 222656 251776 254464 279314 287744 319216 440608 445312 503552 508928 558628 638432 881216 890624 977599 1007104 1117256 1276864 1762432 1781248 1955198 2014208 2234512 2553728 3524864 3562496 3910396 4469024 5107456 7049728 7820792 8938048 10214912 14099456 15641584 17876096 20429824 31283168 35752192 62566336 71504384 125132672 143008768 250265344 500530688 1001061376