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164036400 = 243521117243
BaseRepresentation
bin10011100011011…
…11111100110000
3102102122220122020
421301233330300
5313443131100
624135511440
74031200143
oct1161577460
9372586566
10164036400
1184659a80
1246b28580
1327ca4a78
1417b0005a
15e6035a0
hex9c6ff30

164036400 has 360 divisors, whose sum is σ = 623097024. Its totient is φ = 36556800.

The previous prime is 164036399. The next prime is 164036401. The reversal of 164036400 is 4630461.

It is an interprime number because it is at equal distance from previous prime (164036399) and next prime (164036401).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164036401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3814779 + ... + 3814821.

Almost surely, 2164036400 is an apocalyptic number.

164036400 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 164036400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311548512).

164036400 is an abundant number, since it is smaller than the sum of its proper divisors (459060624).

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

164036400 is a wasteful number, since it uses less digits than its factorization.

164036400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 164036400 is about 12807.6695772494. The cubic root of 164036400 is about 547.4108609910.

Adding to 164036400 its reverse (4630461), we get a palindrome (168666861).

The spelling of 164036400 in words is "one hundred sixty-four million, thirty-six thousand, four hundred".