Search a number
-
+
1059408 = 243271051
BaseRepresentation
bin100000010101001010000
31222211020100
410002221100
5232400113
634412400
712001440
oct4025120
91884210
101059408
11663a49
12431100
132b128c
141d8120
1515dd73
hex102a50

1059408 has 60 divisors (see below), whose sum is σ = 3391648. Its totient is φ = 302400.

The previous prime is 1059349. The next prime is 1059413. The reversal of 1059408 is 8049501.

It is a super-2 number, since 2×10594082 = 2244690620928, which contains 22 as substring.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 483 + ... + 1533.

21059408 is an apocalyptic number.

1059408 is a gapful number since it is divisible by the number (18) 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 1059408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695824).

1059408 is an abundant number, since it is smaller than the sum of its proper divisors (2332240).

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

1059408 is a wasteful number, since it uses less digits than its factorization.

1059408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1059408 is about 1029.2754733306. The cubic root of 1059408 is about 101.9422972361.

The spelling of 1059408 in words is "one million, fifty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 1051 2102 3153 4204 6306 7357 8408 9459 12612 14714 16816 18918 22071 25224 29428 37836 44142 50448 58856 66213 75672 88284 117712 132426 151344 176568 264852 353136 529704 1059408