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31246020 = 22335134451
BaseRepresentation
bin111011100110…
…0011011000100
32011210110111000
41313030123010
530444333040
63033413300
7526405161
oct167143304
964713430
1031246020
1116701663
12a56a230
136620190
144215068
152b23130
hex1dcc6c4

31246020 has 96 divisors (see below), whose sum is σ = 104711040. Its totient is φ = 7689600.

The previous prime is 31246009. The next prime is 31246037. The reversal of 31246020 is 2064213.

It is a happy number.

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 = 31245984 and 31246002.

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, 4795 + ... + 9245.

It is an arithmetic number, because the mean of its divisors is an integer number (1090740).

Almost surely, 231246020 is an apocalyptic number.

31246020 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 31246020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52355520).

31246020 is an abundant number, since it is smaller than the sum of its proper divisors (73465020).

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

31246020 is a wasteful number, since it uses less digits than its factorization.

31246020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4482 (or 4474 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 31246020 is about 5589.8139503923. The cubic root of 31246020 is about 314.9668899439.

It can be divided in two parts, 31 and 246020, that added together give a triangular number (246051 = T701).

The spelling of 31246020 in words is "thirty-one million, two hundred forty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 4451 7020 8902 13353 17804 22255 26706 40059 44510 53412 57863 66765 80118 89020 115726 120177 133530 160236 173589 200295 231452 240354 267060 289315 347178 400590 480708 520767 578630 600885 694356 801180 867945 1041534 1157260 1201770 1562301 1735890 2083068 2403540 2603835 3124602 3471780 5207670 6249204 7811505 10415340 15623010 31246020