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31083690 = 2351128563
BaseRepresentation
bin111011010010…
…0110010101010
32011111012210210
41312210302222
530424134230
63030121550
7525131001
oct166446252
964435723
1031083690
1116600700
12a4b02b6
136594321
1441b1c38
152adeeb0
hex1da4caa

31083690 has 48 divisors (see below), whose sum is σ = 82008864. Its totient is φ = 7534560.

The previous prime is 31083671. The next prime is 31083697. The reversal of 31083690 is 9638013.

It is a super-2 number, since 2×310836902 = 1932391568032200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (31083697) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 652 + ... + 7911.

It is an arithmetic number, because the mean of its divisors is an integer number (1708518).

Almost surely, 231083690 is an apocalyptic number.

31083690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31083690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41004432).

31083690 is an abundant number, since it is smaller than the sum of its proper divisors (50925174).

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

31083690 is a wasteful number, since it uses less digits than its factorization.

31083690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8595 (or 8584 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 31083690 is about 5575.2748811157. The cubic root of 31083690 is about 314.4205017094.

The spelling of 31083690 in words is "thirty-one million, eighty-three thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 605 726 1210 1815 3630 8563 17126 25689 42815 51378 85630 94193 128445 188386 256890 282579 470965 565158 941930 1036123 1412895 2072246 2825790 3108369 5180615 6216738 10361230 15541845 31083690