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161041600 = 2652251401
BaseRepresentation
bin10011001100101…
…00110011000000
3102020000202112201
421212110303000
5312211312400
623551402544
73663555016
oct1146246300
9366022481
10161041600
11829a3a35
1245b23454
13274968b5
14175608b6
15e21106a
hex9994cc0

161041600 has 84 divisors (see below), whose sum is σ = 398833848. Its totient is φ = 64000000.

The previous prime is 161041589. The next prime is 161041609. The reversal of 161041600 is 6140161.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (161041609) 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 11 ways as a sum of consecutive naturals, for example, 401400 + ... + 401800.

It is an arithmetic number, because the mean of its divisors is an integer number (4748022).

Almost surely, 2161041600 is an apocalyptic number.

161041600 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 161041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199416924).

161041600 is an abundant number, since it is smaller than the sum of its proper divisors (237792248).

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

161041600 is a wasteful number, since it uses less digits than its factorization.

161041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 161041600 is about 12690.2167042175. The cubic root of 161041600 is about 544.0590333860.

Adding to 161041600 its reverse (6140161), we get a palindrome (167181761).

The spelling of 161041600 in words is "one hundred sixty-one million, forty-one thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 251 320 400 401 502 800 802 1004 1255 1600 1604 2005 2008 2510 3208 4010 4016 5020 6275 6416 8020 8032 10025 10040 12550 12832 16040 16064 20050 20080 25100 25664 32080 40100 40160 50200 64160 80200 80320 100400 100651 128320 160400 200800 201302 320800 401600 402604 503255 641600 805208 1006510 1610416 2013020 2516275 3220832 4026040 5032550 6441664 8052080 10065100 16104160 20130200 32208320 40260400 80520800 161041600