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1020434200 = 23525419431
BaseRepresentation
bin111100110100101…
…001011100011000
32122010010102120021
4330310221130120
54042212343300
6245131240224
734200355552
oct7464513430
92563112507
101020434200
11484010355
122458a9074
13133543126
149974a4d2
155e8bad1a
hex3cd29718

1020434200 has 48 divisors (see below), whose sum is σ = 2377146960. Its totient is φ = 407376000.

The previous prime is 1020434153. The next prime is 1020434203. The reversal of 1020434200 is 24340201.

1020434200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020434203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103485 + ... + 112915.

It is an arithmetic number, because the mean of its divisors is an integer number (49523895).

Almost surely, 21020434200 is an apocalyptic number.

1020434200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020434200 is an abundant number, since it is smaller than the sum of its proper divisors (1356712760).

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

1020434200 is a wasteful number, since it uses less digits than its factorization.

1020434200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9988 (or 9979 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1020434200 is about 31944.2357867581. The cubic root of 1020434200 is about 1006.7655244543.

Adding to 1020434200 its reverse (24340201), we get a palindrome (1044774401).

The spelling of 1020434200 in words is "one billion, twenty million, four hundred thirty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 541 1082 2164 2705 4328 5410 9431 10820 13525 18862 21640 27050 37724 47155 54100 75448 94310 108200 188620 235775 377240 471550 943100 1886200 5102171 10204342 20408684 25510855 40817368 51021710 102043420 127554275 204086840 255108550 510217100 1020434200