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1002000104 = 23731243433
BaseRepresentation
bin111011101110010…
…100111011101000
32120211102212201222
4323232110323220
54023003000404
6243232201212
733554601050
oct7356247350
92524385658
101002000104
1147466a566
1223b699208
1312c78a691
149710c560
155ce78dbe
hex3bb94ee8

1002000104 has 96 divisors (see below), whose sum is σ = 2275479360. Its totient is φ = 404974080.

The previous prime is 1002000101. The next prime is 1002000137. The reversal of 1002000104 is 4010002001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 1002000091 and 1002000100.

It is not an unprimeable number, because it can be changed into a prime (1002000101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2313872 + ... + 2314304.

It is an arithmetic number, because the mean of its divisors is an integer number (23702910).

Almost surely, 21002000104 is an apocalyptic number.

1002000104 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 1002000104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137739680).

1002000104 is an abundant number, since it is smaller than the sum of its proper divisors (1273479256).

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

1002000104 is a wasteful number, since it uses less digits than its factorization.

1002000104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 1002000104 is about 31654.3852254312. The cubic root of 1002000104 is about 1000.6662573359. Note that the first 3 decimals are identical.

Adding to 1002000104 its reverse (4010002001), we get a palindrome (5012002105).

The spelling of 1002000104 in words is "one billion, two million, one hundred four", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 28 31 43 56 62 86 124 172 217 248 301 344 433 434 602 866 868 961 1204 1333 1732 1736 1922 2408 2666 3031 3464 3844 5332 6062 6727 7688 9331 10664 12124 13423 13454 18619 18662 24248 26846 26908 37238 37324 41323 53692 53816 74476 74648 82646 93961 107384 130333 148952 165292 187922 260666 289261 330584 375844 416113 521332 577189 578522 751688 832226 1042664 1154378 1157044 1664452 2308756 2314088 2912791 3328904 4040323 4617512 5825582 8080646 11651164 16161292 17892859 23302328 32322584 35785718 71571436 125250013 143142872 250500026 501000052 1002000104