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20434020 = 2235973511
BaseRepresentation
bin100110111110…
…0110001100100
31102110011012120
41031330301210
520212342040
62005545540
7335454255
oct115746144
942404176
1020434020
1110597422
126a152b0
134305b49
1429dcb2c
151bd97d0
hex137cc64

20434020 has 48 divisors (see below), whose sum is σ = 57821568. Its totient is φ = 5391360.

The previous prime is 20433989. The next prime is 20434069. The reversal of 20434020 is 2043402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4065 + ... + 7575.

It is an arithmetic number, because the mean of its divisors is an integer number (1204616).

Almost surely, 220434020 is an apocalyptic number.

20434020 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 20434020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28910784).

20434020 is an abundant number, since it is smaller than the sum of its proper divisors (37387548).

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

20434020 is a wasteful number, since it uses less digits than its factorization.

20434020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3620 (or 3618 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 20434020 is about 4520.4004247412. The cubic root of 20434020 is about 273.3912462389.

Adding to 20434020 its reverse (2043402), we get a palindrome (22477422).

The spelling of 20434020 in words is "twenty million, four hundred thirty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 97 194 291 388 485 582 970 1164 1455 1940 2910 3511 5820 7022 10533 14044 17555 21066 35110 42132 52665 70220 105330 210660 340567 681134 1021701 1362268 1702835 2043402 3405670 4086804 5108505 6811340 10217010 20434020