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1042213104 = 243213952069
BaseRepresentation
bin111110000111101…
…110100011110000
32200122002220121100
4332013232203300
54113301304404
6251230124400
734553444112
oct7607564360
92618086540
101042213104
11495336149
12251050700
13137bca15a
149c5b93b2
156176dd39
hex3e1ee8f0

1042213104 has 60 divisors (see below), whose sum is σ = 2937789400. Its totient is φ = 344898432.

The previous prime is 1042213097. The next prime is 1042213127. The reversal of 1042213104 is 4013122401.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6019 + ... + 46050.

Almost surely, 21042213104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042213104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468894700).

1042213104 is an abundant number, since it is smaller than the sum of its proper divisors (1895576296).

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

1042213104 is a wasteful number, since it uses less digits than its factorization.

1042213104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52222 (or 52213 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1042213104 is about 32283.3254792625. The cubic root of 1042213104 is about 1013.8775571958.

Adding to 1042213104 its reverse (4013122401), we get a palindrome (5055335505).

The spelling of 1042213104 in words is "one billion, forty-two million, two hundred thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 139 144 278 417 556 834 1112 1251 1668 2224 2502 3336 5004 6672 10008 20016 52069 104138 156207 208276 312414 416552 468621 624828 833104 937242 1249656 1874484 2499312 3748968 7237591 7497936 14475182 21712773 28950364 43425546 57900728 65138319 86851092 115801456 130276638 173702184 260553276 347404368 521106552 1042213104