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33930020 = 2251696501
BaseRepresentation
bin1000000101101…
…1101100100100
32100211211020102
42001123230210
532141230040
63211123232
7561254225
oct201335444
970754212
1033930020
1118175143
12b443518
13704ca47
14471324c
152ea3515
hex205bb24

33930020 has 12 divisors (see below), whose sum is σ = 71253084. Its totient is φ = 13572000.

The previous prime is 33930019. The next prime is 33930023. The reversal of 33930020 is 2003933.

It can be written as a sum of positive squares in 2 ways, for example, as 4096576 + 29833444 = 2024^2 + 5462^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 1696501 = 33930020 / (3 + 3 + 9 + 3 + 0 + 0 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 33929974 and 33930001.

It is not an unprimeable number, because it can be changed into a prime (33930023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 848231 + ... + 848270.

It is an arithmetic number, because the mean of its divisors is an integer number (5937757).

Almost surely, 233930020 is an apocalyptic number.

It is an amenable number.

33930020 is an abundant number, since it is smaller than the sum of its proper divisors (37323064).

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

33930020 is a wasteful number, since it uses less digits than its factorization.

33930020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696510 (or 1696508 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

The square root of 33930020 is about 5824.9480684380. The cubic root of 33930020 is about 323.7387646852.

Adding to 33930020 its reverse (2003933), we get a palindrome (35933953).

The spelling of 33930020 in words is "thirty-three million, nine hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 20 1696501 3393002 6786004 8482505 16965010 33930020