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1690272 = 25325869
BaseRepresentation
bin110011100101010100000
310011212121200
412130222200
5413042042
6100121200
720236623
oct6345240
93155550
101690272
11a54a21
12696200
1347247c
1431ddba
15235c4c
hex19caa0

1690272 has 36 divisors (see below), whose sum is σ = 4807530. Its totient is φ = 563328.

The previous prime is 1690267. The next prime is 1690277. The reversal of 1690272 is 2720961.

It is an interprime number because it is at equal distance from previous prime (1690267) and next prime (1690277).

It can be written as a sum of positive squares in only one way, i.e., 1648656 + 41616 = 1284^2 + 204^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1690277) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2647 + ... + 3222.

21690272 is an apocalyptic number.

1690272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1690272 is an abundant number, since it is smaller than the sum of its proper divisors (3117258).

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

1690272 is a wasteful number, since it uses less digits than its factorization.

1690272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5885 (or 5874 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1690272 is about 1300.1046111756. The cubic root of 1690272 is about 119.1202325053.

The spelling of 1690272 in words is "one million, six hundred ninety thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 5869 11738 17607 23476 35214 46952 52821 70428 93904 105642 140856 187808 211284 281712 422568 563424 845136 1690272