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1406016 = 26322441
BaseRepresentation
bin101010111010001000000
32122102200200
411113101000
5324443031
650045200
714644113
oct5272100
92572620
101406016
118803a7
12579800
133a2c81
1428857a
151cb8e6
hex157440

1406016 has 42 divisors (see below), whose sum is σ = 4031742. Its totient is φ = 468480.

The previous prime is 1406011. The next prime is 1406033. The reversal of 1406016 is 6106041.

It can be written as a sum of positive squares in only one way, i.e., 921600 + 484416 = 960^2 + 696^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 1406016.

It is not an unprimeable number, because it can be changed into a prime (1406011) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 645 + ... + 1796.

21406016 is an apocalyptic number.

1406016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1406016 is an abundant number, since it is smaller than the sum of its proper divisors (2625726).

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

1406016 is a wasteful number, since it uses less digits than its factorization.

1406016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2459 (or 2446 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1406016 is about 1185.7554553954. The cubic root of 1406016 is about 112.0289041046.

The spelling of 1406016 in words is "one million, four hundred six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 2441 4882 7323 9764 14646 19528 21969 29292 39056 43938 58584 78112 87876 117168 156224 175752 234336 351504 468672 703008 1406016