Search a number
-
+
171201096 = 2332111931367
BaseRepresentation
bin10100011010001…
…01001001001000
3102221010220202100
422031011021020
5322311413341
624553233400
74146120363
oct1215051110
9387126670
10171201096
1188702a10
1249402860
1329612c31
1418a470da
151006b3b6
hexa345248

171201096 has 192 divisors, whose sum is σ = 551116800. Its totient is φ = 47433600.

The previous prime is 171201083. The next prime is 171201139. The reversal of 171201096 is 690102171.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 466305 + ... + 466671.

It is an arithmetic number, because the mean of its divisors is an integer number (2870400).

Almost surely, 2171201096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 171201096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275558400).

171201096 is an abundant number, since it is smaller than the sum of its proper divisors (379915704).

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

171201096 is a wasteful number, since it uses less digits than its factorization.

171201096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 171201096 is about 13084.3836690919. The cubic root of 171201096 is about 555.2674046205.

The spelling of 171201096 in words is "one hundred seventy-one million, two hundred one thousand, ninety-six".