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10003896 = 2332723863
BaseRepresentation
bin100110001010…
…010110111000
3200211020202200
4212022112320
510030111041
6554230200
7151013610
oct46122670
920736680
1010003896
115713091
123425360
1320c3586
141485a40
15d291b6
hex98a5b8

10003896 has 96 divisors (see below), whose sum is σ = 32348160. Its totient is φ = 2730816.

The previous prime is 10003891. The next prime is 10003897. The reversal of 10003896 is 69830001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10003891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11161 + ... + 12023.

It is an arithmetic number, because the mean of its divisors is an integer number (336960).

Almost surely, 210003896 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 10003896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16174080).

10003896 is an abundant number, since it is smaller than the sum of its proper divisors (22344264).

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

10003896 is a wasteful number, since it uses less digits than its factorization.

10003896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10003896 is about 3162.8936118687. The cubic root of 10003896 is about 215.4714442956.

Adding to 10003896 its reverse (69830001), we get a palindrome (79833897).

The spelling of 10003896 in words is "ten million, three thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 56 63 69 72 84 92 126 138 161 168 184 207 252 276 322 414 483 504 552 644 828 863 966 1288 1449 1656 1726 1932 2589 2898 3452 3864 5178 5796 6041 6904 7767 10356 11592 12082 15534 18123 19849 20712 24164 31068 36246 39698 48328 54369 59547 62136 72492 79396 108738 119094 138943 144984 158792 178641 217476 238188 277886 357282 416829 434952 476376 555772 714564 833658 1111544 1250487 1429128 1667316 2500974 3334632 5001948 10003896