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1420416 = 2734137
BaseRepresentation
bin101011010110010000000
32200011110000
411122302000
5330423131
650240000
715034104
oct5326200
92604400
101420416
118901a8
12586000
133a96aa
1428d904
151d0ce6
hex15ac80

1420416 has 80 divisors (see below), whose sum is σ = 4257990. Its totient is φ = 470016.

The previous prime is 1420403. The next prime is 1420429. The reversal of 1420416 is 6140241.

It is an interprime number because it is at equal distance from previous prime (1420403) and next prime (1420429).

It can be written as a sum of positive squares in only one way, i.e., 1166400 + 254016 = 1080^2 + 504^2 .

It is a super-2 number, since 2×14204162 = 4035163226112, which contains 22 as substring.

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

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10300 + ... + 10436.

21420416 is an apocalyptic number.

1420416 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 1420416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2128995).

1420416 is an abundant number, since it is smaller than the sum of its proper divisors (2837574).

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

1420416 is an equidigital number, since it uses as much as digits as its factorization.

1420416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1420416 is about 1191.8120657218. The cubic root of 1420416 is about 112.4100614508.

Adding to 1420416 its reverse (6140241), we get a palindrome (7560657).

The spelling of 1420416 in words is "one million, four hundred twenty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 137 144 162 192 216 274 288 324 384 411 432 548 576 648 822 864 1096 1152 1233 1296 1644 1728 2192 2466 2592 3288 3456 3699 4384 4932 5184 6576 7398 8768 9864 10368 11097 13152 14796 17536 19728 22194 26304 29592 39456 44388 52608 59184 78912 88776 118368 157824 177552 236736 355104 473472 710208 1420416