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31532020 = 22513219491
BaseRepresentation
bin111100001001…
…0001111110100
32012022222210121
41320102033310
531033011040
63043501324
7532006042
oct170221764
965288717
1031532020
1116887523
12a687844
1366c0400
14428b392
152b7cc4a
hex1e123f4

31532020 has 72 divisors (see below), whose sum is σ = 75630240. Its totient is φ = 11007360.

The previous prime is 31532003. The next prime is 31532021. The reversal of 31532020 is 2023513.

It is a junction number, because it is equal to n+sod(n) for n = 31531985 and 31532003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31532021) 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, 63975 + ... + 64465.

It is an arithmetic number, because the mean of its divisors is an integer number (1050420).

Almost surely, 231532020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31532020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37815120).

31532020 is an abundant number, since it is smaller than the sum of its proper divisors (44098220).

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

31532020 is a wasteful number, since it uses less digits than its factorization.

31532020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 31532020 is about 5615.3379239365. The cubic root of 31532020 is about 315.9249541386.

Adding to 31532020 its reverse (2023513), we get a palindrome (33555533).

The spelling of 31532020 in words is "thirty-one million, five hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 169 190 247 260 338 380 491 494 676 845 982 988 1235 1690 1964 2455 2470 3211 3380 4910 4940 6383 6422 9329 9820 12766 12844 16055 18658 25532 31915 32110 37316 46645 63830 64220 82979 93290 121277 127660 165958 186580 242554 331916 414895 485108 606385 829790 1212770 1576601 1659580 2425540 3153202 6306404 7883005 15766010 31532020