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1053215120 = 24513165189
BaseRepresentation
bin111110110001101…
…100100110010000
32201101210212112102
4332301230212100
54124110340440
6252302015532
735046116006
oct7661544620
92641725472
101053215120
114a0570121
122548775a8
1313a27cb19
149dc40a76
15626e3b15
hex3ec6c990

1053215120 has 20 divisors (see below), whose sum is σ = 2448725340. Its totient is φ = 421286016.

The previous prime is 1053215117. The next prime is 1053215159. The reversal of 1053215120 is 215123501.

It is a happy number.

1053215120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 157051024 + 896164096 = 12532^2 + 29936^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×10532151202 = 2218524177993228800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1053215092 and 1053215101.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6582515 + ... + 6582674.

It is an arithmetic number, because the mean of its divisors is an integer number (122436267).

Almost surely, 21053215120 is an apocalyptic number.

1053215120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1053215120 is an abundant number, since it is smaller than the sum of its proper divisors (1395510220).

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

1053215120 is a wasteful number, since it uses less digits than its factorization.

1053215120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13165202 (or 13165196 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 1053215120 is about 32453.2759517433. The cubic root of 1053215120 is about 1017.4327080926.

Adding to 1053215120 its reverse (215123501), we get a palindrome (1268338621).

It can be divided in two parts, 10532 and 15120, that added together give a palindrome (25652).

The spelling of 1053215120 in words is "one billion, fifty-three million, two hundred fifteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 13165189 26330378 52660756 65825945 105321512 131651890 210643024 263303780 526607560 1053215120