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10801896 = 2337113569
BaseRepresentation
bin101001001101…
…001011101000
3202022210102020
4221031023220
510231130041
61023304440
7160546260
oct51151350
922283366
1010801896
116108696
12374b120
132312871
1416127a0
15e35866
hexa4d2e8

10801896 has 64 divisors (see below), whose sum is σ = 31190400. Its totient is φ = 3053568.

The previous prime is 10801873. The next prime is 10801909. The reversal of 10801896 is 69810801.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 18700 + ... + 19268.

It is an arithmetic number, because the mean of its divisors is an integer number (487350).

Almost surely, 210801896 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 10801896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15595200).

10801896 is an abundant number, since it is smaller than the sum of its proper divisors (20388504).

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

10801896 is a wasteful number, since it uses less digits than its factorization.

10801896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The square root of 10801896 is about 3286.6237995852. The cubic root of 10801896 is about 221.0548242055.

The spelling of 10801896 in words is "ten million, eight hundred one thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 113 168 226 339 452 569 678 791 904 1138 1356 1582 1707 2276 2373 2712 3164 3414 3983 4552 4746 6328 6828 7966 9492 11949 13656 15932 18984 23898 31864 47796 64297 95592 128594 192891 257188 385782 450079 514376 771564 900158 1350237 1543128 1800316 2700474 3600632 5400948 10801896