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901132020 = 223355213203
BaseRepresentation
bin110101101101100…
…010111011110100
32022210122020202000
4311231202323310
53321142211040
6225230215300
731221332025
oct6555427364
92283566660
10901132020
11422735908
12211954530
13114901a19
1487972c4c
15541a2130
hex35b62ef4

901132020 has 96 divisors (see below), whose sum is σ = 2809779840. Its totient is φ = 239765760.

The previous prime is 901132013. The next prime is 901132021. The reversal of 901132020 is 20231109.

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 = 901131984 and 901132002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (901132021) 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, 279739 + ... + 282941.

It is an arithmetic number, because the mean of its divisors is an integer number (29268540).

Almost surely, 2901132020 is an apocalyptic number.

901132020 is a gapful number since it is divisible by the number (90) 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 901132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404889920).

901132020 is an abundant number, since it is smaller than the sum of its proper divisors (1908647820).

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

901132020 is a wasteful number, since it uses less digits than its factorization.

901132020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3742 (or 3734 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 901132020 is about 30018.8610710000. The cubic root of 901132020 is about 965.8940125220.

Adding to 901132020 its reverse (20231109), we get a palindrome (921363129).

The spelling of 901132020 in words is "nine hundred one million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 521 540 1042 1563 2084 2605 3126 3203 4689 5210 6252 6406 7815 9378 9609 10420 12812 14067 15630 16015 18756 19218 23445 28134 28827 31260 32030 38436 46890 48045 56268 57654 64060 70335 86481 93780 96090 115308 140670 144135 172962 192180 281340 288270 345924 432405 576540 864810 1668763 1729620 3337526 5006289 6675052 8343815 10012578 15018867 16687630 20025156 25031445 30037734 33375260 45056601 50062890 60075468 75094335 90113202 100125780 150188670 180226404 225283005 300377340 450566010 901132020