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1042267136 = 210732191
BaseRepresentation
bin111110000111111…
…011110000000000
32200122012122201112
4332013323300000
54113310022021
6251231222452
734554060461
oct7607736000
92618178645
101042267136
114953727a9
12251077a28
13137c18921
149c5d0d68
156177ed5b
hex3e1fbc00

1042267136 has 66 divisors (see below), whose sum is σ = 2123508672. Its totient is φ = 511303680.

The previous prime is 1042267087. The next prime is 1042267147. The reversal of 1042267136 is 6317622401.

1042267136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5456801 + ... + 5456991.

Almost surely, 21042267136 is an apocalyptic number.

1042267136 is a gapful number since it is divisible by the number (16) 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 1042267136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061754336).

1042267136 is an abundant number, since it is smaller than the sum of its proper divisors (1081241536).

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

1042267136 is an frugal number, since it uses more digits than its factorization.

1042267136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 1042267136 is about 32284.1623090952. The cubic root of 1042267136 is about 1013.8950778881.

Adding to 1042267136 its reverse (6317622401), we get a palindrome (7359889537).

The spelling of 1042267136 in words is "one billion, forty-two million, two hundred sixty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 73 128 146 191 256 292 382 512 584 764 1024 1168 1528 2336 3056 4672 5329 6112 9344 10658 12224 13943 18688 21316 24448 27886 37376 42632 48896 55772 74752 85264 97792 111544 170528 195584 223088 341056 446176 682112 892352 1017839 1364224 1784704 2035678 2728448 3569408 4071356 5456896 7138816 8142712 14277632 16285424 32570848 65141696 130283392 260566784 521133568 1042267136