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16117056 = 26343109
BaseRepresentation
bin111101011110…
…110101000000
31010022211110000
4331132311000
513111221211
61333240000
7253664334
oct75366500
933284400
1016117056
119108a8a
125493000
133453c27
1421d77c4
151635656
hexf5ed40

16117056 has 70 divisors (see below), whose sum is σ = 47791370. Its totient is φ = 5370624.

The previous prime is 16117039. The next prime is 16117063. The reversal of 16117056 is 65071161.

It can be written as a sum of positive squares in only one way, i.e., 11451456 + 4665600 = 3384^2 + 2160^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3630 + ... + 6738.

Almost surely, 216117056 is an apocalyptic number.

16117056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16117056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23895685).

16117056 is an abundant number, since it is smaller than the sum of its proper divisors (31674314).

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

16117056 is an equidigital number, since it uses as much as digits as its factorization.

16117056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3133 (or 3114 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 16117056 is about 4014.6053355218. The cubic root of 16117056 is about 252.5972229596.

The spelling of 16117056 in words is "sixteen million, one hundred seventeen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 3109 5184 6218 9327 12436 18654 24872 27981 37308 49744 55962 74616 83943 99488 111924 149232 167886 198976 223848 251829 298464 335772 447696 503658 596928 671544 895392 1007316 1343088 1790784 2014632 2686176 4029264 5372352 8058528 16117056