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1430016 = 2937219
BaseRepresentation
bin101011101001000000000
32200122121120
411131020000
5331230031
650352240
715104100
oct5351000
92618546
101430016
11897435
1258b680
133b0b83
14293200
151d3a96
hex15d200

1430016 has 120 divisors (see below), whose sum is σ = 4664880. Its totient is φ = 387072.

The previous prime is 1429969. The next prime is 1430027. The reversal of 1430016 is 6100341.

It is a junction number, because it is equal to n+sod(n) for n = 1429977 and 1430004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75255 + ... + 75273.

It is an arithmetic number, because the mean of its divisors is an integer number (38874).

21430016 is an apocalyptic number.

1430016 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 1430016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2332440).

1430016 is an abundant number, since it is smaller than the sum of its proper divisors (3234864).

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

1430016 is an equidigital number, since it uses as much as digits as its factorization.

1430016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1430016 is about 1195.8327642275. The cubic root of 1430016 is about 112.6627373177.

Adding to 1430016 its reverse (6100341), we get a palindrome (7530357).

The spelling of 1430016 in words is "one million, four hundred thirty thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 49 56 57 64 76 84 96 98 112 114 128 133 147 152 168 192 196 224 228 256 266 294 304 336 384 392 399 448 456 512 532 588 608 672 768 784 798 896 912 931 1064 1176 1216 1344 1536 1568 1596 1792 1824 1862 2128 2352 2432 2688 2793 3136 3192 3584 3648 3724 4256 4704 4864 5376 5586 6272 6384 7296 7448 8512 9408 9728 10752 11172 12544 12768 14592 14896 17024 18816 22344 25088 25536 29184 29792 34048 37632 44688 51072 59584 68096 75264 89376 102144 119168 178752 204288 238336 357504 476672 715008 1430016