Search a number
-
+
1400520 = 2335111061
BaseRepresentation
bin101010101111011001000
32122011011010
411111323020
5324304040
650003520
714622102
oct5257310
92564133
101400520
11877260
125765a0
133a0614
14286572
151c9e80
hex155ec8

1400520 has 64 divisors (see below), whose sum is σ = 4587840. Its totient is φ = 339200.

The previous prime is 1400507. The next prime is 1400527. The reversal of 1400520 is 250041.

It is a super-2 number, since 2×14005202 = 3922912540800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1400496 and 1400505.

It is not an unprimeable number, because it can be changed into a prime (1400527) 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 15 ways as a sum of consecutive naturals, for example, 790 + ... + 1850.

It is an arithmetic number, because the mean of its divisors is an integer number (71685).

21400520 is an apocalyptic number.

1400520 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 1400520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2293920).

1400520 is an abundant number, since it is smaller than the sum of its proper divisors (3187320).

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

1400520 is a wasteful number, since it uses less digits than its factorization.

1400520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 1400520 is about 1183.4356763255. The cubic root of 1400520 is about 111.8827429282.

Adding to 1400520 its reverse (250041), we get a palindrome (1650561).

The spelling of 1400520 in words is "one million, four hundred thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1061 1320 2122 3183 4244 5305 6366 8488 10610 11671 12732 15915 21220 23342 25464 31830 35013 42440 46684 58355 63660 70026 93368 116710 127320 140052 175065 233420 280104 350130 466840 700260 1400520