Search a number
-
+
1053288 = 233214629
BaseRepresentation
bin100000001001001101000
31222111211200
410001021220
5232201123
634324200
711644545
oct4011150
91874750
101053288
1165a395
12429660
132ab562
141d5bcc
1515c143
hex101268

1053288 has 24 divisors (see below), whose sum is σ = 2852850. Its totient is φ = 351072.

The previous prime is 1053271. The next prime is 1053293. The reversal of 1053288 is 8823501.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1004004 + 49284 = 1002^2 + 222^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×10532882 = 2218831221888, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7243 + ... + 7386.

21053288 is an apocalyptic number.

1053288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1053288 is an abundant number, since it is smaller than the sum of its proper divisors (1799562).

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

1053288 is a wasteful number, since it uses less digits than its factorization.

1053288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14641 (or 14634 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1053288 is about 1026.2982022785. The cubic root of 1053288 is about 101.7456175532.

Adding to 1053288 its reverse (8823501), we get a palindrome (9876789).

The spelling of 1053288 in words is "one million, fifty-three thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 14629 29258 43887 58516 87774 117032 131661 175548 263322 351096 526644 1053288