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10993836 = 223732671
BaseRepresentation
bin101001111100…
…000010101100
3202200112201010
4221330002230
510303300321
61031345220
7162306000
oct51740254
922615633
1010993836
116229917
123822210
13237c039
141662700
15e72676
hexa7c0ac

10993836 has 48 divisors (see below), whose sum is σ = 29926400. Its totient is φ = 3139920.

The previous prime is 10993819. The next prime is 10993841. The reversal of 10993836 is 63839901.

It is a junction number, because it is equal to n+sod(n) for n = 10993794 and 10993803.

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, 2781 + ... + 5451.

Almost surely, 210993836 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 10993836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14963200).

10993836 is an abundant number, since it is smaller than the sum of its proper divisors (18932564).

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

10993836 is a wasteful number, since it uses less digits than its factorization.

10993836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2699 (or 2683 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 10993836 is about 3315.6954021743. The cubic root of 10993836 is about 222.3564600428.

The spelling of 10993836 in words is "ten million, nine hundred ninety-three thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 343 588 686 1029 1372 2058 2671 4116 5342 8013 10684 16026 18697 32052 37394 56091 74788 112182 130879 224364 261758 392637 523516 785274 916153 1570548 1832306 2748459 3664612 5496918 10993836