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10803416 = 2313731423
BaseRepresentation
bin101001001101…
…100011011000
3202022212111112
4221031203120
510231202131
61023315452
7160553561
oct51154330
922285445
1010803416
116109848
12374bb88
132313470
141613168
15e3602b
hexa4d8d8

10803416 has 32 divisors (see below), whose sum is σ = 22128960. Its totient is φ = 4914432.

The previous prime is 10803413. The next prime is 10803421. The reversal of 10803416 is 61430801.

It is a junction number, because it is equal to n+sod(n) for n = 10803391 and 10803400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10803413) 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 7 ways as a sum of consecutive naturals, for example, 6881 + ... + 8303.

It is an arithmetic number, because the mean of its divisors is an integer number (691530).

Almost surely, 210803416 is an apocalyptic number.

10803416 is the 1898-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10803416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11064480).

10803416 is an abundant number, since it is smaller than the sum of its proper divisors (11325544).

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

10803416 is a wasteful number, since it uses less digits than its factorization.

10803416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 10803416 is about 3286.8550317895. The cubic root of 10803416 is about 221.0651923721.

The spelling of 10803416 in words is "ten million, eight hundred three thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 26 52 73 104 146 292 584 949 1423 1898 2846 3796 5692 7592 11384 18499 36998 73996 103879 147992 207758 415516 831032 1350427 2700854 5401708 10803416