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1400420 = 225721429
BaseRepresentation
bin101010101111001100100
32122011000102
411111321210
5324303140
650003232
714621600
oct5257144
92564012
101400420
1187717a
12576518
133a0568
14286500
151c9e15
hex155e64

1400420 has 36 divisors (see below), whose sum is σ = 3423420. Its totient is φ = 479808.

The previous prime is 1400417. The next prime is 1400423. The reversal of 1400420 is 240041.

It is an interprime number because it is at equal distance from previous prime (1400417) and next prime (1400423).

It can be written as a sum of positive squares in 2 ways, for example, as 268324 + 1132096 = 518^2 + 1064^2 .

It is a super-2 number, since 2×14004202 = 3922352352800, which contains 22 as substring.

1400420 is a modest number, since divided by 420 gives 140 as remainder.

It is not an unprimeable number, because it can be changed into a prime (1400423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 266 + ... + 1694.

It is an arithmetic number, because the mean of its divisors is an integer number (95095).

21400420 is an apocalyptic number.

1400420 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 1400420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711710).

1400420 is an abundant number, since it is smaller than the sum of its proper divisors (2023000).

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

1400420 is a wasteful number, since it uses less digits than its factorization.

1400420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 1400420 is about 1183.3934257042. The cubic root of 1400420 is about 111.8800799791.

Adding to 1400420 its reverse (240041), we get a palindrome (1640461).

The spelling of 1400420 in words is "one million, four hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 1429 2858 5716 7145 10003 14290 20006 28580 40012 50015 70021 100030 140042 200060 280084 350105 700210 1400420