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20434200 = 2335234057
BaseRepresentation
bin100110111110…
…0110100011000
31102110011110020
41031330310120
520212343300
62005550440
7335454633
oct115746430
942404406
1020434200
1110597576
126a15420
134305c57
1429dcc1a
151bd98a0
hex137cd18

20434200 has 48 divisors (see below), whose sum is σ = 63347880. Its totient is φ = 5448960.

The previous prime is 20434181. The next prime is 20434223. The reversal of 20434200 is 243402.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20434200.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 16429 + ... + 17628.

Almost surely, 220434200 is an apocalyptic number.

20434200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20434200 is an abundant number, since it is smaller than the sum of its proper divisors (42913680).

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

20434200 is a wasteful number, since it uses less digits than its factorization.

20434200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34076 (or 34067 counting only the distinct ones).

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

The square root of 20434200 is about 4520.4203344379. The cubic root of 20434200 is about 273.3920489897.

Adding to 20434200 its reverse (243402), we get a palindrome (20677602).

The spelling of 20434200 in words is "twenty million, four hundred thirty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 34057 68114 102171 136228 170285 204342 272456 340570 408684 510855 681140 817368 851425 1021710 1362280 1702850 2043420 2554275 3405700 4086840 5108550 6811400 10217100 20434200