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1126139364 = 223272172472
BaseRepresentation
bin100001100011111…
…1000010111100100
32220111000210210100
41003013320113210
54301242424424
6303425024100
736623012100
oct10307702744
92814023710
101126139364
11528749199
12275185030
1314c40366c
14a97c4900
1568ceadc9
hex431f85e4

1126139364 has 243 divisors, whose sum is σ = 3594067113. Its totient is φ = 296384256.

The previous prime is 1126139359. The next prime is 1126139407. The reversal of 1126139364 is 4639316211.

The square root of 1126139364 is 33558.

It is a perfect power (a square), and thus also a powerful number.

1126139364 is a `hidden beast` number, since 1 + 1 + 2 + 613 + 9 + 36 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 876752100 + 249387264 = 29610^2 + 15792^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 23960389 + ... + 23960435.

Almost surely, 21126139364 is an apocalyptic number.

1126139364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1126139364 is the 33558-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1126139364

1126139364 is an abundant number, since it is smaller than the sum of its proper divisors (2467927749).

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

1126139364 is a wasteful number, since it uses less digits than its factorization.

1126139364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 76 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The cubic root of 1126139364 is about 1040.3929001182.

Multiplying 1126139364 by its sum of digits (36), we get a square (40541017104 = 2013482).

1126139364 divided by its sum of digits (36) gives a square (31281649 = 55932).

It can be divided in two parts, 11261 and 39364, that added together give a 4-th power (50625 = 154).

The spelling of 1126139364 in words is "one billion, one hundred twenty-six million, one hundred thirty-nine thousand, three hundred sixty-four".