Search a number
-
+
2001353140 = 225531888069
BaseRepresentation
bin111011101001010…
…0011100110110100
312011110220021101101
41313102203212310
513044321300030
6530331535444
7100411135543
oct16722434664
95143807341
102001353140
11937791266
1247a2ba584
1325b82c237
1414db2c15a
15baa7d7ca
hex774a39b4

2001353140 has 24 divisors (see below), whose sum is σ = 4282142760. Its totient is φ = 785436288.

The previous prime is 2001353111. The next prime is 2001353177. The reversal of 2001353140 is 413531002.

It can be written as a sum of positive squares in 4 ways, for example, as 180794916 + 1820558224 = 13446^2 + 42668^2 .

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 7 ways as a sum of consecutive naturals, for example, 942975 + ... + 945094.

It is an arithmetic number, because the mean of its divisors is an integer number (178422615).

Almost surely, 22001353140 is an apocalyptic number.

2001353140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001353140 is an abundant number, since it is smaller than the sum of its proper divisors (2280789620).

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

2001353140 is a wasteful number, since it uses less digits than its factorization.

2001353140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888131 (or 1888129 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 2001353140 is about 44736.4855570931. The cubic root of 2001353140 is about 1260.2051274333.

Adding to 2001353140 its reverse (413531002), we get a palindrome (2414884142).

It can be divided in two parts, 20013 and 53140, that added together give a triangular number (73153 = T382).

The spelling of 2001353140 in words is "two billion, one million, three hundred fifty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 1888069 3776138 7552276 9440345 18880690 37761380 100067657 200135314 400270628 500338285 1000676570 2001353140