Search a number
-
+
10410002008 = 237415976847
BaseRepresentation
bin10011011000111110…
…00000011001011000
3222212111020220010221
421230133000121120
5132304430031013
64440550245424
7515653362040
oct115437003130
928774226127
1010410002008
1144621a164a
122026356874
13c9b921503
1470a7ac720
1540dd9a08d
hex26c7c0658

10410002008 has 64 divisors (see below), whose sum is σ = 23238835200. Its totient is φ = 4278785280.

The previous prime is 10410001997. The next prime is 10410002011. The reversal of 10410002008 is 80020001401.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10410001982 and 10410002000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97041 + ... + 173887.

It is an arithmetic number, because the mean of its divisors is an integer number (363106800).

Almost surely, 210410002008 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 10410002008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11619417600).

10410002008 is an abundant number, since it is smaller than the sum of its proper divisors (12828833192).

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

10410002008 is a wasteful number, since it uses less digits than its factorization.

10410002008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76960 (or 76956 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10410002008 its reverse (80020001401), we get a palindrome (90430003409).

The spelling of 10410002008 in words is "ten billion, four hundred ten million, two thousand, eight".

Divisors: 1 2 4 7 8 14 28 41 56 59 82 118 164 236 287 328 413 472 574 826 1148 1652 2296 2419 3304 4838 9676 16933 19352 33866 67732 76847 135464 153694 307388 537929 614776 1075858 2151716 3150727 4303432 4533973 6301454 9067946 12602908 18135892 22055089 25205816 31737811 36271784 44110178 63475622 88220356 126951244 176440712 185892893 253902488 371785786 743571572 1301250251 1487143144 2602500502 5205001004 10410002008