Search a number
-
+
31090320 = 24325291489
BaseRepresentation
bin111011010011…
…0011010010000
32011111112220100
41312212122100
530424342240
63030212400
7525156222
oct166463220
964445810
1031090320
1116605688
12a4b4100
136597351
1441b4412
152ae1e30
hex1da6690

31090320 has 120 divisors (see below), whose sum is σ = 108084600. Its totient is φ = 7999488.

The previous prime is 31090309. The next prime is 31090337. The reversal of 31090320 is 2309013.

It can be written as a sum of positive squares in 4 ways, for example, as 1016064 + 30074256 = 1008^2 + 5484^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31090293 and 31090302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20136 + ... + 21624.

It is an arithmetic number, because the mean of its divisors is an integer number (900705).

Almost surely, 231090320 is an apocalyptic number.

31090320 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 31090320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54042300).

31090320 is an abundant number, since it is smaller than the sum of its proper divisors (76994280).

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

31090320 is a wasteful number, since it uses less digits than its factorization.

31090320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1537 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 31090320 is about 5575.8694389306. The cubic root of 31090320 is about 314.4428549085.

Adding to 31090320 its reverse (2309013), we get a palindrome (33399333).

The spelling of 31090320 in words is "thirty-one million, ninety thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 36 40 45 48 58 60 72 80 87 90 116 120 144 145 174 180 232 240 261 290 348 360 435 464 522 580 696 720 870 1044 1160 1305 1392 1489 1740 2088 2320 2610 2978 3480 4176 4467 5220 5956 6960 7445 8934 10440 11912 13401 14890 17868 20880 22335 23824 26802 29780 35736 43181 44670 53604 59560 67005 71472 86362 89340 107208 119120 129543 134010 172724 178680 214416 215905 259086 268020 345448 357360 388629 431810 518172 536040 647715 690896 777258 863620 1036344 1072080 1295430 1554516 1727240 1943145 2072688 2590860 3109032 3454480 3886290 5181720 6218064 7772580 10363440 15545160 31090320