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1059136 = 26131967
BaseRepresentation
bin100000010100101000000
31222210212021
410002211000
5232343021
634411224
712000601
oct4024500
91883767
101059136
11663821
12430b14
132b1110
141d7da8
1515dc41
hex102940

1059136 has 56 divisors (see below), whose sum is σ = 2418080. Its totient is φ = 456192.

The previous prime is 1059131. The next prime is 1059137. The reversal of 1059136 is 6319501.

It is a super-2 number, since 2×10591362 = 2243538132992, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1059136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1059131) by changing a digit.

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, 15775 + ... + 15841.

It is an arithmetic number, because the mean of its divisors is an integer number (43180).

21059136 is an apocalyptic number.

1059136 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 1059136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209040).

1059136 is an abundant number, since it is smaller than the sum of its proper divisors (1358944).

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

1059136 is a wasteful number, since it uses less digits than its factorization.

1059136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 25.

The square root of 1059136 is about 1029.1433330688. The cubic root of 1059136 is about 101.9335720240.

The spelling of 1059136 in words is "one million, fifty-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 67 76 104 134 152 208 247 268 304 416 494 536 608 832 871 988 1072 1216 1273 1742 1976 2144 2546 3484 3952 4288 5092 6968 7904 10184 13936 15808 16549 20368 27872 33098 40736 55744 66196 81472 132392 264784 529568 1059136