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2151241040 = 245132068501
BaseRepresentation
bin1000000000111001…
…0101010101010000
312112220221100221002
42000032111111100
513401204203130
6553244321132
7104211150524
oct20016252520
95486840832
102151241040
11a04357263
125005431a8
132838bc0c0
141659c7d84
15c8cd9b45
hex80395550

2151241040 has 40 divisors (see below), whose sum is σ = 5386379208. Its totient is φ = 794304000.

The previous prime is 2151241039. The next prime is 2151241049. The reversal of 2151241040 is 401421512.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 101687056 + 2049553984 = 10084^2 + 45272^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2151241049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1033211 + ... + 1035290.

Almost surely, 22151241040 is an apocalyptic number.

2151241040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2151241040 is an abundant number, since it is smaller than the sum of its proper divisors (3235138168).

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

2151241040 is a wasteful number, since it uses less digits than its factorization.

2151241040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2068527 (or 2068521 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 2151241040 is about 46381.4730253363. The cubic root of 2151241040 is about 1290.9111684517.

Adding to 2151241040 its reverse (401421512), we get a palindrome (2552662552).

The spelling of 2151241040 in words is "two billion, one hundred fifty-one million, two hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 2068501 4137002 8274004 10342505 16548008 20685010 26890513 33096016 41370020 53781026 82740040 107562052 134452565 165480080 215124104 268905130 430248208 537810260 1075620520 2151241040