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425680 = 24517313
BaseRepresentation
bin1100111111011010000
3210121220221
41213323100
5102110210
613042424
73422023
oct1477320
9717827
10425680
11270902
12186414
1311b9a8
14b11ba
15861da
hex67ed0

425680 has 40 divisors (see below), whose sum is σ = 1051272. Its totient is φ = 159744.

The previous prime is 425653. The next prime is 425681. The reversal of 425680 is 86524.

It can be written as a sum of positive squares in 4 ways, for example, as 5776 + 419904 = 76^2 + 648^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425681) 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 7 ways as a sum of consecutive naturals, for example, 1204 + ... + 1516.

2425680 is an apocalyptic number.

425680 is a gapful number since it is divisible by the number (40) 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 425680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525636).

425680 is an abundant number, since it is smaller than the sum of its proper divisors (625592).

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

425680 is a wasteful number, since it uses less digits than its factorization.

425680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 425680 is about 652.4415682649. The cubic root of 425680 is about 75.2248069659.

The spelling of 425680 in words is "four hundred twenty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 313 340 626 680 1252 1360 1565 2504 3130 5008 5321 6260 10642 12520 21284 25040 26605 42568 53210 85136 106420 212840 425680