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31113420 = 223513113353
BaseRepresentation
bin111011010110…
…0000011001100
32011112201120220
41312230003030
530431112140
63030511340
7525313452
oct166540314
964481526
1031113420
1116620a78
12a505550
1365a4a10
1441bc9d2
152ae8bd0
hex1dac0cc

31113420 has 96 divisors (see below), whose sum is σ = 94917312. Its totient is φ = 7569408.

The previous prime is 31113413. The next prime is 31113443. The reversal of 31113420 is 2431113.

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 31113420.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87964 + ... + 88316.

It is an arithmetic number, because the mean of its divisors is an integer number (988722).

Almost surely, 231113420 is an apocalyptic number.

31113420 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 31113420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47458656).

31113420 is an abundant number, since it is smaller than the sum of its proper divisors (63803892).

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

31113420 is a wasteful number, since it uses less digits than its factorization.

31113420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 489 counting only the distinct ones).

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

The square root of 31113420 is about 5577.9404801414. The cubic root of 31113420 is about 314.5207122795.

Adding to 31113420 its reverse (2431113), we get a palindrome (33544533).

It can be divided in two parts, 311 and 13420, that added together give a palindrome (13731).

The spelling of 31113420 in words is "thirty-one million, one hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 113 130 156 195 226 260 339 353 390 452 565 678 706 780 1059 1130 1356 1412 1469 1695 1765 2118 2260 2938 3390 3530 4236 4407 4589 5295 5876 6780 7060 7345 8814 9178 10590 13767 14690 17628 18356 21180 22035 22945 27534 29380 39889 44070 45890 55068 68835 79778 88140 91780 119667 137670 159556 199445 239334 275340 398890 478668 518557 598335 797780 1037114 1196670 1555671 2074228 2393340 2592785 3111342 5185570 6222684 7778355 10371140 15556710 31113420