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1126040832 = 2833717372
BaseRepresentation
bin100001100011110…
…0000010100000000
32220110211210122000
41003013200110000
54301231301312
6303422544000
736622121610
oct10307402400
92813753560
101126040832
11528691164
12275138000
1314c39a867
14a979aa40
1568ccbadc
hex431e0500

1126040832 has 432 divisors, whose sum is σ = 4141307520. Its totient is φ = 294617088.

The previous prime is 1126040791. The next prime is 1126040843. The reversal of 1126040832 is 2380406211.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1126040796 and 1126040805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30433518 + ... + 30433554.

It is an arithmetic number, because the mean of its divisors is an integer number (9586360).

Almost surely, 21126040832 is an apocalyptic number.

1126040832 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 1126040832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2070653760).

1126040832 is an abundant number, since it is smaller than the sum of its proper divisors (3015266688).

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

1126040832 is an equidigital number, since it uses as much as digits as its factorization.

1126040832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1126040832 is about 33556.5318827795. The cubic root of 1126040832 is about 1040.3625560398.

The spelling of 1126040832 in words is "one billion, one hundred twenty-six million, forty thousand, eight hundred thirty-two".