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1135431136 = 25723719571
BaseRepresentation
bin100001110101101…
…0100110111100000
32221010111212201001
41003223110313200
54311132244021
6304400121344
740065001600
oct10353246740
92833455631
101135431136
11532a15244
12278306254
13151307a58
14aab22c00
1569a34091
hex43ad4de0

1135431136 has 72 divisors (see below), whose sum is σ = 2670755976. Its totient is φ = 473437440.

The previous prime is 1135431131. The next prime is 1135431149. The reversal of 1135431136 is 6311345311.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135431131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48231 + ... + 67801.

It is an arithmetic number, because the mean of its divisors is an integer number (37093833).

Almost surely, 21135431136 is an apocalyptic number.

1135431136 is a gapful number since it is divisible by the number (16) 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 1135431136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335377988).

1135431136 is an abundant number, since it is smaller than the sum of its proper divisors (1535324840).

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

1135431136 is a wasteful number, since it uses less digits than its factorization.

1135431136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19632 (or 19617 counting only the distinct ones).

The product of its digits is 3240, while the sum is 28.

The square root of 1135431136 is about 33696.1590689503. The cubic root of 1135431136 is about 1043.2464921976.

Adding to 1135431136 its reverse (6311345311), we get a palindrome (7446776447).

The spelling of 1135431136 in words is "one billion, one hundred thirty-five million, four hundred thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 37 49 56 74 98 112 148 196 224 259 296 392 518 592 784 1036 1184 1568 1813 2072 3626 4144 7252 8288 14504 19571 29008 39142 58016 78284 136997 156568 273994 313136 547988 626272 724127 958979 1095976 1448254 1917958 2191952 2896508 3835916 4383904 5068889 5793016 7671832 10137778 11586032 15343664 20275556 23172064 30687328 35482223 40551112 70964446 81102224 141928892 162204448 283857784 567715568 1135431136