Search a number
-
+
172318104 = 23387267
BaseRepresentation
bin10100100010101…
…01110110011000
3110000020200000000
422101111312120
5323103134404
625033213000
74161452100
oct1221256630
9400220000
10172318104
11892a6162
1249861160
132991449a
1418c58200
15101dc339
hexa455d98

172318104 has 216 divisors, whose sum is σ = 572155740. Its totient is φ = 48498912.

The previous prime is 172318079. The next prime is 172318127. The reversal of 172318104 is 401813271.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 53 ways as a sum of consecutive naturals, for example, 2571879 + ... + 2571945.

Almost surely, 2172318104 is an apocalyptic number.

172318104 is a gapful number since it is divisible by the number (14) 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 172318104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286077870).

172318104 is an abundant number, since it is smaller than the sum of its proper divisors (399837636).

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

172318104 is an frugal number, since it uses more digits than its factorization.

172318104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 172318104 is about 13126.9990477641. Note that the first 3 decimals coincide. The cubic root of 172318104 is about 556.4724087424.

The spelling of 172318104 in words is "one hundred seventy-two million, three hundred eighteen thousand, one hundred four".