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1133001400 = 235238914563
BaseRepresentation
bin100001110001000…
…0011101010111000
32220221221102201211
41003202003222320
54310022021100
6304232052504
740035232036
oct10342035270
92827842654
101133001400
115316057a3
12277534134
13150966b3b
14aa68d556
15697041ba
hex43883ab8

1133001400 has 48 divisors (see below), whose sum is σ = 2641181400. Its totient is φ = 452004480.

The previous prime is 1133001379. The next prime is 1133001403. The reversal of 1133001400 is 41003311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133001403) 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 11 ways as a sum of consecutive naturals, for example, 70519 + ... + 85081.

Almost surely, 21133001400 is an apocalyptic number.

1133001400 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 1133001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320590700).

1133001400 is an abundant number, since it is smaller than the sum of its proper divisors (1508180000).

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

1133001400 is a wasteful number, since it uses less digits than its factorization.

1133001400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14968 (or 14959 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1133001400 is about 33660.0861555641. The cubic root of 1133001400 is about 1042.5018047881.

Adding to 1133001400 its reverse (41003311), we get a palindrome (1174004711).

The spelling of 1133001400 in words is "one billion, one hundred thirty-three million, one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 389 778 1556 1945 3112 3890 7780 9725 14563 15560 19450 29126 38900 58252 72815 77800 116504 145630 291260 364075 582520 728150 1456300 2912600 5665007 11330014 22660028 28325035 45320056 56650070 113300140 141625175 226600280 283250350 566500700 1133001400