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16441400 = 235282207
BaseRepresentation
bin111110101110…
…000000111000
31010221022100202
4332232000320
513202111100
61344221332
7256515053
oct76560070
933838322
1016441400
11930a738
12560a848
133538751
14227da9a
15169b7d5
hexfae038

16441400 has 24 divisors (see below), whose sum is σ = 38226720. Its totient is φ = 6576480.

The previous prime is 16441379. The next prime is 16441427. The reversal of 16441400 is 414461.

It is a happy number.

16441400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×164414003 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 40904 + ... + 41303.

It is an arithmetic number, because the mean of its divisors is an integer number (1592780).

Almost surely, 216441400 is an apocalyptic number.

16441400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16441400 is an abundant number, since it is smaller than the sum of its proper divisors (21785320).

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

16441400 is a wasteful number, since it uses less digits than its factorization.

16441400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82223 (or 82214 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 16441400 is about 4054.7996251356. The cubic root of 16441400 is about 254.2804268443.

Adding to 16441400 its reverse (414461), we get a palindrome (16855861).

The spelling of 16441400 in words is "sixteen million, four hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 82207 164414 328828 411035 657656 822070 1644140 2055175 3288280 4110350 8220700 16441400