Search a number
-
+
172187136 = 2932114379
BaseRepresentation
bin10100100001101…
…01111000000000
3110000000000100100
422100311320000
5323034442021
625030322400
74160365212
oct1220657000
9400000310
10172187136
1189216820
12497b9400
13298999a4
1418c225b2
15101b3626
hexa435e00

172187136 has 240 divisors, whose sum is σ = 561749760. Its totient is φ = 50319360.

The previous prime is 172187107. The next prime is 172187137. The reversal of 172187136 is 631781271.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 172187136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172187137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2179545 + ... + 2179623.

It is an arithmetic number, because the mean of its divisors is an integer number (2340624).

Almost surely, 2172187136 is an apocalyptic number.

172187136 is a gapful number since it is divisible by the number (16) 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 172187136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280874880).

172187136 is an abundant number, since it is smaller than the sum of its proper divisors (389562624).

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

172187136 is a wasteful number, since it uses less digits than its factorization.

172187136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 138 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 172187136 is about 13122.0096021913. The cubic root of 172187136 is about 556.3313932825.

The spelling of 172187136 in words is "one hundred seventy-two million, one hundred eighty-seven thousand, one hundred thirty-six".