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171315132 = 223231075801
BaseRepresentation
bin10100011011000…
…00111110111100
3102221100201011220
422031200332330
5322324041012
624555513340
74150104012
oct1215407674
9387321156
10171315132
118878065a
1249458850
1329652b01
1418a768b2
151009008c
hexa360fbc

171315132 has 48 divisors (see below), whose sum is σ = 421085952. Its totient is φ = 54102400.

The previous prime is 171315127. The next prime is 171315149. The reversal of 171315132 is 231513171.

It is a happy number.

171315132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26632 + ... + 32432.

It is an arithmetic number, because the mean of its divisors is an integer number (8772624).

Almost surely, 2171315132 is an apocalyptic number.

171315132 is a gapful number since it is divisible by the number (12) 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 171315132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210542976).

171315132 is an abundant number, since it is smaller than the sum of its proper divisors (249770820).

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

171315132 is a wasteful number, since it uses less digits than its factorization.

171315132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5938 (or 5936 counting only the distinct ones).

The product of its digits is 630, while the sum is 24.

The square root of 171315132 is about 13088.7406575270. The cubic root of 171315132 is about 555.3906639946.

The spelling of 171315132 in words is "one hundred seventy-one million, three hundred fifteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 107 138 214 276 321 428 642 1284 2461 4922 5801 7383 9844 11602 14766 17403 23204 29532 34806 69612 133423 266846 400269 533692 620707 800538 1241414 1601076 1862121 2482828 3724242 7448484 14276261 28552522 42828783 57105044 85657566 171315132