Search a number
-
+
1051141376 = 2815726153
BaseRepresentation
bin111110101001110…
…010010100000000
32201020220111220002
4332221302110000
54123043011001
6252145335132
735022361055
oct7651622400
92636814802
101051141376
1149a38408a
122540374a8
13139a04c5c
149d86102c
156243446b
hex3ea72500

1051141376 has 36 divisors (see below), whose sum is σ = 2111621652. Its totient is φ = 522203136.

The previous prime is 1051141303. The next prime is 1051141387. The reversal of 1051141376 is 6731411501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 212459776 + 838681600 = 14576^2 + 28960^2 .

It is a super-2 number, since 2×10511413762 = 2209796384678346752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27116 + ... + 53268.

It is an arithmetic number, because the mean of its divisors is an integer number (58656157).

Almost surely, 21051141376 is an apocalyptic number.

1051141376 is a gapful number since it is divisible by the number (16) 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 1051141376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055810826).

1051141376 is an abundant number, since it is smaller than the sum of its proper divisors (1060480276).

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

1051141376 is an equidigital number, since it uses as much as digits as its factorization.

1051141376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26326 (or 26312 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 1051141376 is about 32421.3105225560. The cubic root of 1051141376 is about 1016.7645061205.

Adding to 1051141376 its reverse (6731411501), we get a palindrome (7782552877).

The spelling of 1051141376 in words is "one billion, fifty-one million, one hundred forty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 128 157 256 314 628 1256 2512 5024 10048 20096 26153 40192 52306 104612 209224 418448 836896 1673792 3347584 4106021 6695168 8212042 16424084 32848168 65696336 131392672 262785344 525570688 1051141376