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16412160 = 29352137
BaseRepresentation
bin111110100110…
…111000000000
31010212211020210
4332212320000
513200142120
61343434120
7256333602
oct76467000
933784223
1016412160
11929a776
1255b5940
13352834b
142273172
151692ce0
hexfa6e00

16412160 has 80 divisors (see below), whose sum is σ = 52492176. Its totient is φ = 4374528.

The previous prime is 16412153. The next prime is 16412167. The reversal of 16412160 is 6121461.

It is an interprime number because it is at equal distance from previous prime (16412153) and next prime (16412167).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16412167) 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, 6612 + ... + 8748.

Almost surely, 216412160 is an apocalyptic number.

16412160 is a gapful number since it is divisible by the number (10) 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 16412160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26246088).

16412160 is an abundant number, since it is smaller than the sum of its proper divisors (36080016).

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

16412160 is an equidigital number, since it uses as much as digits as its factorization.

16412160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 16412160 is about 4051.1924170545. The cubic root of 16412160 is about 254.1295967914.

The spelling of 16412160 in words is "sixteen million, four hundred twelve thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2137 2560 3840 4274 6411 7680 8548 10685 12822 17096 21370 25644 32055 34192 42740 51288 64110 68384 85480 102576 128220 136768 170960 205152 256440 273536 341920 410304 512880 547072 683840 820608 1025760 1094144 1367680 1641216 2051520 2735360 3282432 4103040 5470720 8206080 16412160