Search a number
-
+
171272088 = 233213414463
BaseRepresentation
bin10100011010101…
…10011110011000
3102221021112010200
422031112132120
5322321201323
624554542200
74146534351
oct1215263630
9387245120
10171272088
1188751289
1249437960
1329639340
1418a64d28
1510082443
hexa356798

171272088 has 96 divisors (see below), whose sum is σ = 511842240. Its totient is φ = 51402240.

The previous prime is 171272083. The next prime is 171272111. The reversal of 171272088 is 880272171.

It is a happy number.

171272088 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171272081) 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, 36145 + ... + 40607.

It is an arithmetic number, because the mean of its divisors is an integer number (5331690).

Almost surely, 2171272088 is an apocalyptic number.

171272088 is a gapful number since it is divisible by the number (18) 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 171272088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255921120).

171272088 is an abundant number, since it is smaller than the sum of its proper divisors (340570152).

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

171272088 is a wasteful number, since it uses less digits than its factorization.

171272088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4529 (or 4522 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 171272088 is about 13087.0962401902. The cubic root of 171272088 is about 555.3441449706.

The spelling of 171272088 in words is "one hundred seventy-one million, two hundred seventy-two thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 41 52 72 78 82 104 117 123 156 164 234 246 312 328 369 468 492 533 738 936 984 1066 1476 1599 2132 2952 3198 4264 4463 4797 6396 8926 9594 12792 13389 17852 19188 26778 35704 38376 40167 53556 58019 80334 107112 116038 160668 174057 182983 232076 321336 348114 365966 464152 522171 548949 696228 731932 1044342 1097898 1392456 1463864 1646847 2088684 2195796 2378779 3293694 4177368 4391592 4757558 6587388 7136337 9515116 13174776 14272674 19030232 21409011 28545348 42818022 57090696 85636044 171272088