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1409220 = 223257829
BaseRepresentation
bin101011000000011000100
32122121002100
411120003010
5330043340
650112100
714656341
oct5300304
92577070
101409220
1188284a
1257b630
133a4577
142897c8
151cc830
hex1580c4

1409220 has 36 divisors (see below), whose sum is σ = 4275180. Its totient is φ = 375744.

The previous prime is 1409209. The next prime is 1409227. The reversal of 1409220 is 229041.

It can be written as a sum of positive squares in 2 ways, for example, as 331776 + 1077444 = 576^2 + 1038^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 1409193 and 1409202.

It is not an unprimeable number, because it can be changed into a prime (1409227) by changing a digit.

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, 3735 + ... + 4094.

It is an arithmetic number, because the mean of its divisors is an integer number (118755).

21409220 is an apocalyptic number.

1409220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1409220 is an abundant number, since it is smaller than the sum of its proper divisors (2865960).

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

1409220 is a wasteful number, since it uses less digits than its factorization.

1409220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7844 (or 7839 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1409220 is about 1187.1057240196. The cubic root of 1409220 is about 112.1139359261.

The spelling of 1409220 in words is "one million, four hundred nine thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 7829 15658 23487 31316 39145 46974 70461 78290 93948 117435 140922 156580 234870 281844 352305 469740 704610 1409220