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2032001020 = 225731835641
BaseRepresentation
bin111100100011101…
…1101111111111100
312020121120100101001
41321013131333330
513130143013040
6533344500044
7101232503140
oct17107357774
95217510331
102032001020
11953014495
1248861a624
13264ca008a
14153c29220
15bd5d459a
hex791ddffc

2032001020 has 96 divisors (see below), whose sum is σ = 5095673856. Its totient is φ = 665971200.

The previous prime is 2032001011. The next prime is 2032001021. The reversal of 2032001020 is 201002302.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2032000988 and 2032001006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2032001021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 357400 + ... + 363040.

It is an arithmetic number, because the mean of its divisors is an integer number (53079936).

Almost surely, 22032001020 is an apocalyptic number.

2032001020 is a gapful number since it is divisible by the number (20) 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 2032001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2547836928).

2032001020 is an abundant number, since it is smaller than the sum of its proper divisors (3063672836).

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

2032001020 is a wasteful number, since it uses less digits than its factorization.

2032001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5771 (or 5769 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 2032001020 is about 45077.7219921327. The cubic root of 2032001020 is about 1266.6053182045.

Adding to 2032001020 its reverse (201002302), we get a palindrome (2233003322).

The spelling of 2032001020 in words is "two billion, thirty-two million, one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 83 124 140 155 166 217 310 332 415 434 581 620 830 868 1085 1162 1660 2170 2324 2573 2905 4340 5146 5641 5810 10292 11282 11620 12865 18011 22564 25730 28205 36022 39487 51460 56410 72044 78974 90055 112820 157948 174871 180110 197435 349742 360220 394870 468203 699484 789740 874355 936406 1224097 1748710 1872812 2341015 2448194 3277421 3497420 4682030 4896388 6120485 6554842 9364060 12240970 13109684 14514293 16387105 24481940 29028586 32774210 58057172 65548420 72571465 101600051 145142930 203200102 290285860 406400204 508000255 1016000510 2032001020