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2020031132 = 2271937412503
BaseRepresentation
bin111100001100111…
…0011101010011100
312012210001012202212
41320121303222130
513114111444012
6532240135552
7101025660410
oct17031635234
95183035685
102020031132
11947289319
124846075b8
1326266b9c2
141523d0d40
15bc51cb22
hex78673a9c

2020031132 has 96 divisors (see below), whose sum is σ = 4475950080. Its totient is φ = 778222080.

The previous prime is 2020031129. The next prime is 2020031141. The reversal of 2020031132 is 2311300202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 805793 + ... + 808295.

It is an arithmetic number, because the mean of its divisors is an integer number (46624480).

Almost surely, 22020031132 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 2020031132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2237975040).

2020031132 is an abundant number, since it is smaller than the sum of its proper divisors (2455918948).

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

2020031132 is a wasteful number, since it uses less digits than its factorization.

2020031132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2611 (or 2609 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2020031132 is about 44944.7564461084. The cubic root of 2020031132 is about 1264.1133589182.

Adding to 2020031132 its reverse (2311300202), we get a palindrome (4331331334).

The spelling of 2020031132 in words is "two billion, twenty million, thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 19 28 37 38 41 74 76 82 133 148 164 259 266 287 518 532 574 703 779 1036 1148 1406 1517 1558 2503 2812 3034 3116 4921 5006 5453 6068 9842 10012 10619 10906 17521 19684 21238 21812 28823 35042 42476 47557 57646 70084 92611 95114 102623 115292 185222 190228 201761 205246 332899 370444 403522 410492 648277 665798 718361 807044 1296554 1331596 1436722 1759609 1949837 2593108 2873444 3519218 3797051 3899674 7038436 7594102 7799348 12317263 13648859 15188204 24634526 26579357 27297718 49269052 53158714 54595436 72143969 106317428 144287938 288575876 505007783 1010015566 2020031132