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1053413250 = 23536732087
BaseRepresentation
bin111110110010011…
…100111110000010
32201102011221022120
4332302130332002
54124133211000
6252310145110
735050602441
oct7662347602
92642157276
101053413250
114a0695a6a
12254952196
1313a31c066
149dc92d58
15627326a0
hex3ec9cf82

1053413250 has 64 divisors (see below), whose sum is σ = 2634488064. Its totient is φ = 280358400.

The previous prime is 1053413243. The next prime is 1053413267. The reversal of 1053413250 is 523143501.

It is a super-2 number, since 2×10534132502 = 2219358950551125000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1053413250.

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 31 ways as a sum of consecutive naturals, for example, 503707 + ... + 505793.

It is an arithmetic number, because the mean of its divisors is an integer number (41163876).

Almost surely, 21053413250 is an apocalyptic number.

1053413250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1053413250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317244032).

1053413250 is an abundant number, since it is smaller than the sum of its proper divisors (1581074814).

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

1053413250 is a wasteful number, since it uses less digits than its factorization.

1053413250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2780 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 1053413250 is about 32456.3283505698. The cubic root of 1053413250 is about 1017.4965036393.

Adding to 1053413250 its reverse (523143501), we get a palindrome (1576556751).

The spelling of 1053413250 in words is "one billion, fifty-three million, four hundred thirteen thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 125 150 250 375 673 750 1346 2019 2087 3365 4038 4174 6261 6730 10095 10435 12522 16825 20190 20870 31305 33650 50475 52175 62610 84125 100950 104350 156525 168250 252375 260875 313050 504750 521750 782625 1404551 1565250 2809102 4213653 7022755 8427306 14045510 21068265 35113775 42136530 70227550 105341325 175568875 210682650 351137750 526706625 1053413250