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2023432020 = 2232511241289
BaseRepresentation
bin111100010011011…
…0001111101010100
312020000102222220200
41320212301331110
513120444311040
6532441100500
7101066613501
oct17046617524
95200388820
102023432020
119491a1475
12485787730
1326328c96c
14152a384a8
15bc990630
hex789b1f54

2023432020 has 36 divisors (see below), whose sum is σ = 6137744340. Its totient is φ = 539581824.

The previous prime is 2023432009. The next prime is 2023432027. The reversal of 2023432020 is 202343202.

It can be written as a sum of positive squares in 2 ways, for example, as 406909584 + 1616522436 = 20172^2 + 40206^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×20234320202 = 8188554279122560800, which contains 22 as substring.

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 = 2023431984 and 2023432002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023432027) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5620465 + ... + 5620824.

Almost surely, 22023432020 is an apocalyptic number.

2023432020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2023432020 is an abundant number, since it is smaller than the sum of its proper divisors (4114312320).

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

2023432020 is a wasteful number, since it uses less digits than its factorization.

2023432020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11241304 (or 11241299 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2023432020 is about 44982.5746261816. The cubic root of 2023432020 is about 1264.8223739932.

Adding to 2023432020 its reverse (202343202), we get a palindrome (2225775222).

The spelling of 2023432020 in words is "two billion, twenty-three million, four hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 11241289 22482578 33723867 44965156 56206445 67447734 101171601 112412890 134895468 168619335 202343202 224825780 337238670 404686404 505858005 674477340 1011716010 2023432020