Search a number
-
+
2132037180 = 22335713431009
BaseRepresentation
bin111111100010100…
…0100111000111100
312111120210201012000
41333011010320330
513331300142210
6551320542300
7103556005560
oct17705047074
95446721160
102132037180
119a45300a9
124b6021990
1327c927180
141632296a0
15c7294ac0
hex7f144e3c

2132037180 has 384 divisors, whose sum is σ = 8361830400. Its totient is φ = 438939648.

The previous prime is 2132037163. The next prime is 2132037211. The reversal of 2132037180 is 817302312.

2132037180 is a `hidden beast` number, since 213 + 2 + 0 + 371 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2112516 + ... + 2113524.

It is an arithmetic number, because the mean of its divisors is an integer number (21775600).

Almost surely, 22132037180 is an apocalyptic number.

2132037180 is a gapful number since it is divisible by the number (20) 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 2132037180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4180915200).

2132037180 is an abundant number, since it is smaller than the sum of its proper divisors (6229793220).

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

2132037180 is a wasteful number, since it uses less digits than its factorization.

2132037180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2132037180 is about 46173.9881318476. The cubic root of 2132037180 is about 1287.0584136799.

Adding to 2132037180 its reverse (817302312), we get a palindrome (2949339492).

The spelling of 2132037180 in words is "two billion, one hundred thirty-two million, thirty-seven thousand, one hundred eighty".