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10793016 = 2332132887
BaseRepresentation
bin101001001011…
…000000111000
3202022100020100
4221023000320
510230334031
61023155400
7160511343
oct51130070
922270210
1010793016
116101a53
123745b60
13230b800
14160d45a
15e32de6
hexa4b038

10793016 has 72 divisors (see below), whose sum is σ = 31688280. Its totient is φ = 3317184.

The previous prime is 10792987. The next prime is 10793023. The reversal of 10793016 is 61039701.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11725 + ... + 12611.

It is an arithmetic number, because the mean of its divisors is an integer number (440115).

Almost surely, 210793016 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 10793016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15844140).

10793016 is an abundant number, since it is smaller than the sum of its proper divisors (20895264).

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

10793016 is a wasteful number, since it uses less digits than its factorization.

10793016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 10793016 is about 3285.2725914298. The cubic root of 10793016 is about 220.9942328368.

It can be divided in two parts, 1079 and 3016, that added together give a triangular number (4095 = T90).

The spelling of 10793016 in words is "ten million, seven hundred ninety-three thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 887 936 1014 1352 1521 1774 2028 2661 3042 3548 4056 5322 6084 7096 7983 10644 11531 12168 15966 21288 23062 31932 34593 46124 63864 69186 92248 103779 138372 149903 207558 276744 299806 415116 449709 599612 830232 899418 1199224 1349127 1798836 2698254 3597672 5396508 10793016