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164141400 = 23352273569
BaseRepresentation
bin10011100100010…
…01100101011000
3102102212020200010
421302021211120
5314010011100
624142041520
74032115233
oct1162114530
9372766603
10164141400
1184720955
1246b792a0
13280107b7
1417b2a41a
15e624750
hex9c89958

164141400 has 48 divisors (see below), whose sum is σ = 508840200. Its totient is φ = 43770880.

The previous prime is 164141377. The next prime is 164141407. The reversal of 164141400 is 4141461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164141407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136185 + ... + 137384.

Almost surely, 2164141400 is an apocalyptic number.

164141400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164141400 is an abundant number, since it is smaller than the sum of its proper divisors (344698800).

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

164141400 is a wasteful number, since it uses less digits than its factorization.

164141400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273588 (or 273579 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 164141400 is about 12811.7680278719. The cubic root of 164141400 is about 547.5276356435.

Adding to 164141400 its reverse (4141461), we get a palindrome (168282861).

The spelling of 164141400 in words is "one hundred sixty-four million, one hundred forty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 273569 547138 820707 1094276 1367845 1641414 2188552 2735690 3282828 4103535 5471380 6565656 6839225 8207070 10942760 13678450 16414140 20517675 27356900 32828280 41035350 54713800 82070700 164141400