Search a number
-
+
31214760 = 2335269967
BaseRepresentation
bin111011100010…
…0110010101000
32011201212121020
41313010302220
530442333020
63033012440
7526215063
oct167046250
964655536
1031214760
1116690125
12a554120
13660bb95
1442078da
152b18c40
hex1dc4ca8

31214760 has 64 divisors (see below), whose sum is σ = 94089600. Its totient is φ = 8284416.

The previous prime is 31214753. The next prime is 31214779. The reversal of 31214760 is 6741213.

It is a super-2 number, since 2×312147602 = 1948722483715200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 31214760.

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, 31797 + ... + 32763.

It is an arithmetic number, because the mean of its divisors is an integer number (1470150).

Almost surely, 231214760 is an apocalyptic number.

31214760 is a gapful number since it is divisible by the number (30) 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 31214760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47044800).

31214760 is an abundant number, since it is smaller than the sum of its proper divisors (62874840).

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

31214760 is a wasteful number, since it uses less digits than its factorization.

31214760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 31214760 is about 5587.0170932260. The cubic root of 31214760 is about 314.8618189596.

Adding to 31214760 its reverse (6741213), we get a palindrome (37955973).

The spelling of 31214760 in words is "thirty-one million, two hundred fourteen thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 269 538 807 967 1076 1345 1614 1934 2152 2690 2901 3228 3868 4035 4835 5380 5802 6456 7736 8070 9670 10760 11604 14505 16140 19340 23208 29010 32280 38680 58020 116040 260123 520246 780369 1040492 1300615 1560738 2080984 2601230 3121476 3901845 5202460 6242952 7803690 10404920 15607380 31214760