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1053468 = 2232132251
BaseRepresentation
bin100000001001100011100
31222112002100
410001030130
5232202333
634325100
711645223
oct4011434
91875070
101053468
1165a539
12429790
132ab670
141d5cba
1515c213
hex10131c

1053468 has 36 divisors (see below), whose sum is σ = 2869048. Its totient is φ = 324000.

The previous prime is 1053467. The next prime is 1053487. The reversal of 1053468 is 8643501.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10534682 = 2219589654048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 658 + ... + 1593.

21053468 is an apocalyptic number.

1053468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1053468 is an abundant number, since it is smaller than the sum of its proper divisors (1815580).

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

1053468 is a wasteful number, since it uses less digits than its factorization.

1053468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2274 (or 2269 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1053468 is about 1026.3858923426. The cubic root of 1053468 is about 101.7514131089.

Adding to 1053468 its reverse (8643501), we get a palindrome (9696969).

It can be divided in two parts, 1053 and 468, that multiplied together give a square (492804 = 7022).

The spelling of 1053468 in words is "one million, fifty-three thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 2251 4502 6753 9004 13506 20259 27012 29263 40518 58526 81036 87789 117052 175578 263367 351156 526734 1053468