Search a number
-
+
31036080 = 2435891453
BaseRepresentation
bin111011001100…
…1001010110000
32011101210111110
41312121022300
530421123310
63025113320
7524542125
oct166311260
964353443
1031036080
1116578959
12a488840
13657875a
14419c74c
152ad0d20
hex1d992b0

31036080 has 80 divisors (see below), whose sum is σ = 97359840. Its totient is φ = 8177664.

The previous prime is 31036079. The next prime is 31036097. The reversal of 31036080 is 8063013.

It is a tau number, because it is divible by the number of its divisors (80).

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, 20634 + ... + 22086.

It is an arithmetic number, because the mean of its divisors is an integer number (1216998).

Almost surely, 231036080 is an apocalyptic number.

31036080 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 31036080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48679920).

31036080 is an abundant number, since it is smaller than the sum of its proper divisors (66323760).

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

31036080 is a wasteful number, since it uses less digits than its factorization.

31036080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 31036080 is about 5571.0035002682. The cubic root of 31036080 is about 314.2598900466.

Adding to 31036080 its reverse (8063013), we get a palindrome (39099093).

The spelling of 31036080 in words is "thirty-one million, thirty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 89 120 178 240 267 356 445 534 712 890 1068 1335 1424 1453 1780 2136 2670 2906 3560 4272 4359 5340 5812 7120 7265 8718 10680 11624 14530 17436 21360 21795 23248 29060 34872 43590 58120 69744 87180 116240 129317 174360 258634 348720 387951 517268 646585 775902 1034536 1293170 1551804 1939755 2069072 2586340 3103608 3879510 5172680 6207216 7759020 10345360 15518040 31036080