Search a number
-
+
31714272 = 2532110119
BaseRepresentation
bin111100011111…
…0101111100000
32012200020210200
41320332233200
531104324042
63051425200
7533365302
oct170765740
965606720
1031714272
11169a1447
12a755200
136755355
1442d7972
152bb6c4c
hex1e3ebe0

31714272 has 36 divisors (see below), whose sum is σ = 90188280. Its totient is φ = 10571328.

The previous prime is 31714261. The next prime is 31714289. The reversal of 31714272 is 27241713.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 54772 + ... + 55347.

It is an arithmetic number, because the mean of its divisors is an integer number (2505230).

Almost surely, 231714272 is an apocalyptic number.

31714272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31714272 is an abundant number, since it is smaller than the sum of its proper divisors (58474008).

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

31714272 is a wasteful number, since it uses less digits than its factorization.

31714272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110135 (or 110124 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 31714272 is about 5631.5425950622. The cubic root of 31714272 is about 316.5324570085.

Adding to 31714272 its reverse (27241713), we get a palindrome (58955985).

The spelling of 31714272 in words is "thirty-one million, seven hundred fourteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 110119 220238 330357 440476 660714 880952 991071 1321428 1761904 1982142 2642856 3523808 3964284 5285712 7928568 10571424 15857136 31714272