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1053302144 = 2722336901
BaseRepresentation
bin111110110010000…
…001110110000000
32201101222021220112
4332302001312000
54124121132034
6252303530452
735046630506
oct7662016600
92641867815
101053302144
114a061a544
122548b9a28
1313a2b060b
149dc64676
156270e7ce
hex3ec81d80

1053302144 has 32 divisors (see below), whose sum is σ = 2107842240. Its totient is φ = 524275200.

The previous prime is 1053302143. The next prime is 1053302147. The reversal of 1053302144 is 4412033501.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×10533021442 = 2218890813109993472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053302143) by changing a digit.

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, 10094 + ... + 46994.

It is an arithmetic number, because the mean of its divisors is an integer number (65870070).

Almost surely, 21053302144 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 1053302144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053921120).

1053302144 is an abundant number, since it is smaller than the sum of its proper divisors (1054540096).

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

1053302144 is an equidigital number, since it uses as much as digits as its factorization.

1053302144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37138 (or 37126 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 1053302144 is about 32454.6166823766. The cubic root of 1053302144 is about 1017.4607297897.

Adding to 1053302144 its reverse (4412033501), we get a palindrome (5465335645).

The spelling of 1053302144 in words is "one billion, fifty-three million, three hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 223 446 892 1784 3568 7136 14272 28544 36901 73802 147604 295208 590416 1180832 2361664 4723328 8228923 16457846 32915692 65831384 131662768 263325536 526651072 1053302144