Search a number
-
+
2131511536 = 247118292087
BaseRepresentation
bin111111100001100…
…0100100011110000
312111112211000010201
41333003010203300
513331131332121
6551301404544
7103551356230
oct17703044360
95445730121
102131511536
119a4201190
124b5a09754
1327c7a1b3b
1416312dcc0
15c71dde91
hex7f0c48f0

2131511536 has 80 divisors (see below), whose sum is σ = 5157527040. Its totient is φ = 829059840.

The previous prime is 2131511509. The next prime is 2131511537. The reversal of 2131511536 is 6351151312.

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 (2131511537) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1020285 + ... + 1022371.

It is an arithmetic number, because the mean of its divisors is an integer number (64469088).

Almost surely, 22131511536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131511536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2578763520).

2131511536 is an abundant number, since it is smaller than the sum of its proper divisors (3026015504).

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

2131511536 is a wasteful number, since it uses less digits than its factorization.

2131511536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2942 (or 2936 counting only the distinct ones).

The product of its digits is 2700, while the sum is 28.

The square root of 2131511536 is about 46168.2957883438. The cubic root of 2131511536 is about 1286.9526322007.

Adding to 2131511536 its reverse (6351151312), we get a palindrome (8482662848).

The spelling of 2131511536 in words is "two billion, one hundred thirty-one million, five hundred eleven thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 829 1232 1658 2087 3316 4174 5803 6632 8348 9119 11606 13264 14609 16696 18238 22957 23212 29218 33392 36476 45914 46424 58436 63833 72952 91828 92848 116872 127666 145904 160699 183656 233744 255332 321398 367312 510664 642796 1021328 1285592 1730123 2571184 3460246 6920492 12110861 13840984 19031353 24221722 27681968 38062706 48443444 76125412 96886888 133219471 152250824 193773776 266438942 304501648 532877884 1065755768 2131511536