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20161400 = 2352714401
BaseRepresentation
bin100110011101…
…0001101111000
31101221022020112
41030322031320
520130131100
62000043452
7333240410
oct114721570
941838215
1020161400
1110420616
126903588
13423ba2c
14296b640
151b83b35
hex133a378

20161400 has 48 divisors (see below), whose sum is σ = 53575440. Its totient is φ = 6912000.

The previous prime is 20161399. The next prime is 20161417. The reversal of 20161400 is 416102.

20161400 = 8862 + 8872 + ... + 9102.

It is a Harshad number since it is a multiple of its sum of digits (14).

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 11 ways as a sum of consecutive naturals, for example, 5801 + ... + 8600.

It is an arithmetic number, because the mean of its divisors is an integer number (1116155).

Almost surely, 220161400 is an apocalyptic number.

20161400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20161400 is an abundant number, since it is smaller than the sum of its proper divisors (33414040).

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

20161400 is a wasteful number, since it uses less digits than its factorization.

20161400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14424 (or 14415 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 20161400 is about 4490.1447638133. The cubic root of 20161400 is about 272.1699845776.

Adding to 20161400 its reverse (416102), we get a palindrome (20577502).

It can be divided in two parts, 2016 and 1400, that multiplied together give a square (2822400 = 16802).

The spelling of 20161400 in words is "twenty million, one hundred sixty-one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 14401 28802 57604 72005 100807 115208 144010 201614 288020 360025 403228 504035 576040 720050 806456 1008070 1440100 2016140 2520175 2880200 4032280 5040350 10080700 20161400