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1156204368 = 243411273101
BaseRepresentation
bin100010011101010…
…0100011101010000
32222120121021020000
41010322210131100
54331442014433
6310421250000
740436401134
oct10472443520
92876537200
101156204368
11543713500
12283263900
131556cc0c7
14ad7ad3c4
156b789113
hex44ea4750

1156204368 has 300 divisors, whose sum is σ = 3765568884. Its totient is φ = 342144000.

The previous prime is 1156204349. The next prime is 1156204369. The reversal of 1156204368 is 8634026511.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 929762064 + 226442304 = 30492^2 + 15048^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1156204369) 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 59 ways as a sum of consecutive naturals, for example, 11447518 + ... + 11447618.

Almost surely, 21156204368 is an apocalyptic number.

1156204368 is a gapful number since it is divisible by the number (18) 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 1156204368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882784442).

1156204368 is an abundant number, since it is smaller than the sum of its proper divisors (2609364516).

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

1156204368 is a wasteful number, since it uses less digits than its factorization.

1156204368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1156204368 is about 34003.0052789456. The cubic root of 1156204368 is about 1049.5703058118.

The spelling of 1156204368 in words is "one billion, one hundred fifty-six million, two hundred four thousand, three hundred sixty-eight".