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1042200306 = 232721181633
BaseRepresentation
bin111110000111101…
…011011011110010
32200122002021001100
4332013223123302
54113300402211
6251225545230
734553361600
oct7607533362
92618067040
101042200306
11495327574
12251045216
13137bc4394
149c5b4870
156176a156
hex3e1eb6f2

1042200306 has 36 divisors (see below), whose sum is σ = 2626772382. Its totient is φ = 297771264.

The previous prime is 1042200287. The next prime is 1042200307. The reversal of 1042200306 is 6030022401.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 528770025 + 513430281 = 22995^2 + 22659^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042200307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 589935 + ... + 591698.

Almost surely, 21042200306 is an apocalyptic number.

1042200306 is an abundant number, since it is smaller than the sum of its proper divisors (1584572076).

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

1042200306 is a wasteful number, since it uses less digits than its factorization.

1042200306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181655 (or 1181645 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1042200306 is about 32283.1272648732. The cubic root of 1042200306 is about 1013.8734071622.

Adding to 1042200306 its reverse (6030022401), we get a palindrome (7072222707).

The spelling of 1042200306 in words is "one billion, forty-two million, two hundred thousand, three hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 1181633 2363266 3544899 7089798 8271431 10634697 16542862 21269394 24814293 49628586 57900017 74442879 115800034 148885758 173700051 347400102 521100153 1042200306