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1416064 = 27132337
BaseRepresentation
bin101011001101110000000
32122221110211
411121232000
5330303224
650203504
715015316
oct5315600
92587424
101416064
11887a01
12583594
133a7710
1428c0b6
151ce894
hex159b80

1416064 has 64 divisors (see below), whose sum is σ = 3255840. Its totient is φ = 608256.

The previous prime is 1416061. The next prime is 1416067. The reversal of 1416064 is 4606141.

It is an interprime number because it is at equal distance from previous prime (1416061) and next prime (1416067).

It is a tau number, because it is divible by the number of its divisors (64).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1416061) 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, 38254 + ... + 38290.

21416064 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 1416064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627920).

1416064 is an abundant number, since it is smaller than the sum of its proper divisors (1839776).

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

1416064 is a wasteful number, since it uses less digits than its factorization.

1416064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 1416064 is about 1189.9848738534. The cubic root of 1416064 is about 112.2951399379.

The spelling of 1416064 in words is "one million, four hundred sixteen thousand, sixty-four".

Divisors: 1 2 4 8 13 16 23 26 32 37 46 52 64 74 92 104 128 148 184 208 296 299 368 416 481 592 598 736 832 851 962 1184 1196 1472 1664 1702 1924 2368 2392 2944 3404 3848 4736 4784 6808 7696 9568 11063 13616 15392 19136 22126 27232 30784 38272 44252 54464 61568 88504 108928 177008 354016 708032 1416064