Search a number
-
+
132014300 = 225211432791
BaseRepresentation
bin1111101111001…
…10000011011100
3100012102000120112
413313212003130
5232243424200
621033305152
73162050225
oct767460334
9305360515
10132014300
1168578330
12382651b8
1321472592
141376624c
15b8ca535
hex7de60dc

132014300 has 72 divisors (see below), whose sum is σ = 319896192. Its totient is φ = 46872000.

The previous prime is 132014297. The next prime is 132014303. The reversal of 132014300 is 3410231.

It is an interprime number because it is at equal distance from previous prime (132014297) and next prime (132014303).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132014303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45905 + ... + 48695.

Almost surely, 2132014300 is an apocalyptic number.

132014300 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 132014300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159948096).

132014300 is an abundant number, since it is smaller than the sum of its proper divisors (187881892).

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

132014300 is a wasteful number, since it uses less digits than its factorization.

132014300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2859 (or 2852 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 132014300 is about 11489.7476038423. The cubic root of 132014300 is about 509.1827227920.

Adding to 132014300 its reverse (3410231), we get a palindrome (135424531).

The spelling of 132014300 in words is "one hundred thirty-two million, fourteen thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 43 44 50 55 86 100 110 172 215 220 275 430 473 550 860 946 1075 1100 1892 2150 2365 2791 4300 4730 5582 9460 11164 11825 13955 23650 27910 30701 47300 55820 61402 69775 120013 122804 139550 153505 240026 279100 307010 480052 600065 614020 767525 1200130 1320143 1535050 2400260 2640286 3000325 3070100 5280572 6000650 6600715 12001300 13201430 26402860 33003575 66007150 132014300