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1055712 = 25371571
BaseRepresentation
bin100000001101111100000
31222122011110
410001233200
5232240322
634343320
711654610
oct4015740
91878143
101055712
11661199
1242ab40
132ac6a8
141d6a40
1515cc0c
hex101be0

1055712 has 48 divisors (see below), whose sum is σ = 3169152. Its totient is φ = 301440.

The previous prime is 1055689. The next prime is 1055713. The reversal of 1055712 is 2175501.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10557122 = 2229055653888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055713) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114 + ... + 1457.

It is an arithmetic number, because the mean of its divisors is an integer number (66024).

21055712 is an apocalyptic number.

1055712 is a gapful number since it is divisible by the number (12) 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 1055712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584576).

1055712 is an abundant number, since it is smaller than the sum of its proper divisors (2113440).

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

1055712 is a wasteful number, since it uses less digits than its factorization.

1055712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1591 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 21.

The square root of 1055712 is about 1027.4784669277. The cubic root of 1055712 is about 101.8236090181.

The spelling of 1055712 in words is "one million, fifty-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1571 3142 4713 6284 9426 10997 12568 18852 21994 25136 32991 37704 43988 50272 65982 75408 87976 131964 150816 175952 263928 351904 527856 1055712