Search a number
-
+
1053456 = 243171291
BaseRepresentation
bin100000001001100010000
31222112001220
410001030100
5232202311
634325040
711645205
oct4011420
91875056
101053456
1165a528
12429780
132ab661
141d5cac
1515c206
hex101310

1053456 has 40 divisors (see below), whose sum is σ = 2883744. Its totient is φ = 330240.

The previous prime is 1053449. The next prime is 1053461. The reversal of 1053456 is 6543501.

It is a super-2 number, since 2×10534562 = 2219539087872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171 + ... + 1461.

21053456 is an apocalyptic number.

1053456 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 1053456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441872).

1053456 is an abundant number, since it is smaller than the sum of its proper divisors (1830288).

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

1053456 is a wasteful number, since it uses less digits than its factorization.

1053456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1313 counting only the distinct ones).

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

The square root of 1053456 is about 1026.3800465714. The cubic root of 1053456 is about 101.7510267591.

Adding to 1053456 its reverse (6543501), we get a palindrome (7596957).

The spelling of 1053456 in words is "one million, fifty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 1291 2582 3873 5164 7746 10328 15492 20656 21947 30984 43894 61968 65841 87788 131682 175576 263364 351152 526728 1053456