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1064544 = 25313853
BaseRepresentation
bin100000011111001100000
32000002021120
410003321200
5233031134
634452240
712022425
oct4037140
92002246
101064544
11667898
12434080
132b3710
141d9d4c
15160649
hex103e60

1064544 has 48 divisors (see below), whose sum is σ = 3012912. Its totient is φ = 327168.

The previous prime is 1064533. The next prime is 1064549. The reversal of 1064544 is 4454601.

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

It is a super-2 number, since 2×10645442 = 2266507855872, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1064549) 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, 822 + ... + 1674.

It is an arithmetic number, because the mean of its divisors is an integer number (62769).

21064544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1064544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506456).

1064544 is an abundant number, since it is smaller than the sum of its proper divisors (1948368).

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

1064544 is a wasteful number, since it uses less digits than its factorization.

1064544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 1064544 is about 1031.7674156514. The cubic root of 1064544 is about 102.1067701661.

The spelling of 1064544 in words is "one million, sixty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 853 1248 1706 2559 3412 5118 6824 10236 11089 13648 20472 22178 27296 33267 40944 44356 66534 81888 88712 133068 177424 266136 354848 532272 1064544