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1126423872 = 26327437389
BaseRepresentation
bin100001100100011…
…1101110101000000
32220111120021001200
41003020331311000
54301331030442
6303435101200
736625305420
oct10310756500
92814507050
101126423872
11528922a22
122752a1800
1314c4a3002
14a985a480
1568d5534c
hex4323dd40

1126423872 has 336 divisors, whose sum is σ = 3870472320. Its totient is φ = 306561024.

The previous prime is 1126423871. The next prime is 1126423877. The reversal of 1126423872 is 2783246211.

It is a happy number.

1126423872 is a `hidden beast` number, since 1 + 1 + 2 + 642 + 3 + 8 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×11264238722 = 2537661478822944768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1126423871) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 12656404 + ... + 12656492.

Almost surely, 21126423872 is an apocalyptic number.

1126423872 is a gapful number since it is divisible by the number (12) 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 1126423872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935236160).

1126423872 is an abundant number, since it is smaller than the sum of its proper divisors (2744048448).

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

1126423872 is a wasteful number, since it uses less digits than its factorization.

1126423872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 217 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 1126423872 is about 33562.2387811064. The cubic root of 1126423872 is about 1040.4805077415.

The spelling of 1126423872 in words is "one billion, one hundred twenty-six million, four hundred twenty-three thousand, eight hundred seventy-two".