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1406720 = 2857157
BaseRepresentation
bin101010111011100000000
32122110122202
411113130000
5330003340
650052332
714646140
oct5273400
92573582
101406720
11880987
1257a0a8
133a33a3
14288920
151cbc15
hex157700

1406720 has 72 divisors (see below), whose sum is σ = 3875424. Its totient is φ = 479232.

The previous prime is 1406707. The next prime is 1406771. The reversal of 1406720 is 276041.

1406720 is nontrivially palindromic in base 13.

It is a super-3 number, since 3×14067203 = 8351110706233344000, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1406692 and 1406701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8882 + ... + 9038.

21406720 is an apocalyptic number.

1406720 is a gapful number since it is divisible by the number (10) 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 1406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937712).

1406720 is an abundant number, since it is smaller than the sum of its proper divisors (2468704).

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

1406720 is an equidigital number, since it uses as much as digits as its factorization.

1406720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 1406720 is about 1186.0522754078. The cubic root of 1406720 is about 112.0475988158.

The spelling of 1406720 in words is "one million, four hundred six thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 157 160 224 256 280 314 320 448 560 628 640 785 896 1099 1120 1256 1280 1570 1792 2198 2240 2512 3140 4396 4480 5024 5495 6280 8792 8960 10048 10990 12560 17584 20096 21980 25120 35168 40192 43960 50240 70336 87920 100480 140672 175840 200960 281344 351680 703360 1406720