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1126794240 = 210345111319
BaseRepresentation
bin100001100101001…
…1000010000000000
32220112021002010000
41003022120100000
54301424403430
6303451040000
736631410255
oct10312302000
92815232100
101126794240
11529056210
12275440000
1314c5a2770
14a991542c
1568dc9e60
hex43298400

1126794240 has 880 divisors, whose sum is σ = 4993369920. Its totient is φ = 238878720.

The previous prime is 1126794239. The next prime is 1126794283. The reversal of 1126794240 is 424976211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (880).

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

It is a junction number, because it is equal to n+sod(n) for n = 1126794195 and 1126794204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 59304951 + ... + 59304969.

It is an arithmetic number, because the mean of its divisors is an integer number (5674284).

Almost surely, 21126794240 is an apocalyptic number.

1126794240 is a gapful number since it is divisible by the number (10) 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 1126794240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496684960).

1126794240 is an abundant number, since it is smaller than the sum of its proper divisors (3866575680).

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

1126794240 is a wasteful number, since it uses less digits than its factorization.

1126794240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1126794240 is about 33567.7559571682. The cubic root of 1126794240 is about 1040.5945318569.

The spelling of 1126794240 in words is "one billion, one hundred twenty-six million, seven hundred ninety-four thousand, two hundred forty".