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1032120020 = 225149346349
BaseRepresentation
bin111101100001001…
…110011011010100
32122221010010111102
4331201032123110
54103210320040
6250225525232
734401606161
oct7541163324
92587103442
101032120020
1148a672058
122497a3818
13135aa5109
149b10d068
1560928515
hex3d84e6d4

1032120020 has 24 divisors (see below), whose sum is σ = 2182005000. Its totient is φ = 410076032.

The previous prime is 1032120007. The next prime is 1032120029. The reversal of 1032120020 is 200212301.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 28751044 + 1003368976 = 5362^2 + 31676^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1032119983 and 1032120010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032120029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170195 + ... + 176154.

It is an arithmetic number, because the mean of its divisors is an integer number (90916875).

Almost surely, 21032120020 is an apocalyptic number.

1032120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1032120020 is an abundant number, since it is smaller than the sum of its proper divisors (1149884980).

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

1032120020 is a wasteful number, since it uses less digits than its factorization.

1032120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346507 (or 346505 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1032120020 is about 32126.6247838144. The cubic root of 1032120020 is about 1010.5940432447.

Adding to 1032120020 its reverse (200212301), we get a palindrome (1232332321).

The spelling of 1032120020 in words is "one billion, thirty-two million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 149 298 596 745 1490 2980 346349 692698 1385396 1731745 3463490 6926980 51606001 103212002 206424004 258030005 516060010 1032120020