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2041010132 = 2272372291229
BaseRepresentation
bin111100110100111…
…0101011111010100
312021020112001112212
41321221311133110
513134444311012
6534305532552
7101402204600
oct17151653724
95236461485
102041010132
11958108137
1248b644158
13266b05905
141550d2500
15be2b3b22
hex79a757d4

2041010132 has 72 divisors (see below), whose sum is σ = 4289329800. Its totient is φ = 846671616.

The previous prime is 2041010131. The next prime is 2041010137. The reversal of 2041010132 is 2310101402.

It can be written as a sum of positive squares in 4 ways, for example, as 1794708496 + 246301636 = 42364^2 + 15694^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2041010131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1660094 + ... + 1661322.

It is an arithmetic number, because the mean of its divisors is an integer number (59574025).

Almost surely, 22041010132 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 2041010132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2144664900).

2041010132 is an abundant number, since it is smaller than the sum of its proper divisors (2248319668).

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

2041010132 is a wasteful number, since it uses less digits than its factorization.

2041010132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2041010132 is about 45177.5401278113. The cubic root of 2041010132 is about 1268.4744390849.

Adding to 2041010132 its reverse (2310101402), we get a palindrome (4351111534).

The spelling of 2041010132 in words is "two billion, forty-one million, ten thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 37 49 74 98 148 196 229 259 458 518 916 1036 1229 1603 1813 2458 3206 3626 4916 6412 7252 8473 8603 11221 16946 17206 22442 33892 34412 44884 45473 59311 60221 90946 118622 120442 181892 237244 240884 281441 318311 415177 562882 636622 830354 1125764 1273244 1660708 1970087 2228177 3940174 4456354 7880348 8912708 10413317 13790609 20826634 27581218 41653268 55162436 72893219 145786438 291572876 510252533 1020505066 2041010132