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31689420 = 22357197383
BaseRepresentation
bin111100011100…
…0101011001100
32012121222201020
41320320223030
531103030140
63051114140
7533232660
oct170705314
965558636
1031689420
1116984804
12a742950
136746c49
1442cc8a0
152bae6d0
hex1e38acc

31689420 has 96 divisors (see below), whose sum is σ = 102187008. Its totient is φ = 7187712.

The previous prime is 31689407. The next prime is 31689443. The reversal of 31689420 is 2498613.

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 31 ways as a sum of consecutive naturals, for example, 82549 + ... + 82931.

It is an arithmetic number, because the mean of its divisors is an integer number (1064448).

Almost surely, 231689420 is an apocalyptic number.

31689420 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 31689420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51093504).

31689420 is an abundant number, since it is smaller than the sum of its proper divisors (70497588).

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

31689420 is a wasteful number, since it uses less digits than its factorization.

31689420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 31689420 is about 5629.3356624028. The cubic root of 31689420 is about 316.4497548075.

The spelling of 31689420 in words is "thirty-one million, six hundred eighty-nine thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 197 210 383 394 420 591 766 788 985 1149 1182 1379 1532 1915 1970 2298 2364 2681 2758 2955 3830 3940 4137 4596 5362 5516 5745 5910 6895 7660 8043 8274 10724 11490 11820 13405 13790 16086 16548 20685 22980 26810 27580 32172 40215 41370 53620 75451 80430 82740 150902 160860 226353 301804 377255 452706 528157 754510 905412 1056314 1131765 1509020 1584471 2112628 2263530 2640785 3168942 4527060 5281570 6337884 7922355 10563140 15844710 31689420