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16168896 = 26343119
BaseRepresentation
bin111101101011…
…011111000000
31010102110120000
4331223133000
513114401041
61334320000
7254301432
oct75533700
933373500
1016168896
119143a27
1254b9000
1334716c3
14220c652
151645bb6
hexf6b7c0

16168896 has 70 divisors (see below), whose sum is σ = 47945040. Its totient is φ = 5387904.

The previous prime is 16168871. The next prime is 16168913. The reversal of 16168896 is 69886161.

It is a happy number.

It is a super-2 number, since 2×161688962 = 522866395717632, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3625 + ... + 6743.

Almost surely, 216168896 is an apocalyptic number.

16168896 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 16168896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23972520).

16168896 is an abundant number, since it is smaller than the sum of its proper divisors (31776144).

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

16168896 is an equidigital number, since it uses as much as digits as its factorization.

16168896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3143 (or 3124 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 16168896 is about 4021.0565775676. The cubic root of 16168896 is about 252.8677567671.

The spelling of 16168896 in words is "sixteen million, one hundred sixty-eight thousand, eight hundred ninety-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 3119 5184 6238 9357 12476 18714 24952 28071 37428 49904 56142 74856 84213 99808 112284 149712 168426 199616 224568 252639 299424 336852 449136 505278 598848 673704 898272 1010556 1347408 1796544 2021112 2694816 4042224 5389632 8084448 16168896