Search a number
-
+
31143120 = 2435129763
BaseRepresentation
bin111011011001…
…1010011010000
32011121020022220
41312303103100
530433034440
63031301040
7525466161
oct166632320
964536286
1031143120
1116641318
12a51a780
1365b53a8
1441c9768
152b028d0
hex1db34d0

31143120 has 40 divisors (see below), whose sum is σ = 96544416. Its totient is φ = 8304768.

The previous prime is 31143113. The next prime is 31143157. The reversal of 31143120 is 2134113.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 31143120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64642 + ... + 65121.

Almost surely, 231143120 is an apocalyptic number.

31143120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31143120 is an abundant number, since it is smaller than the sum of its proper divisors (65401296).

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

31143120 is a wasteful number, since it uses less digits than its factorization.

31143120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129779 (or 129773 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 31143120 is about 5580.6021180514. The cubic root of 31143120 is about 314.6207580093.

Adding to 31143120 its reverse (2134113), we get a palindrome (33277233).

The spelling of 31143120 in words is "thirty-one million, one hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 129763 259526 389289 519052 648815 778578 1038104 1297630 1557156 1946445 2076208 2595260 3114312 3892890 5190520 6228624 7785780 10381040 15571560 31143120