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10000420 = 2251767439
BaseRepresentation
bin100110001001…
…100000100100
3200211001222221
4212021200210
510030003140
6554202124
7151000513
oct46114044
920731887
1010000420
115710511
123423344
1320c1b11
14148467a
15d2814a
hex989824

10000420 has 48 divisors (see below), whose sum is σ = 22619520. Its totient is φ = 3700224.

The previous prime is 10000379. The next prime is 10000439. The reversal of 10000420 is 2400001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22561 + ... + 22999.

It is an arithmetic number, because the mean of its divisors is an integer number (471240).

Almost surely, 210000420 is an apocalyptic number.

10000420 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 10000420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11309760).

10000420 is an abundant number, since it is smaller than the sum of its proper divisors (12619100).

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

10000420 is a wasteful number, since it uses less digits than its factorization.

10000420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 10000420 is about 3162.3440673020. The cubic root of 10000420 is about 215.4464851695.

Adding to 10000420 its reverse (2400001), we get a palindrome (12400421).

The spelling of 10000420 in words is "ten million, four hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 17 20 34 67 68 85 134 170 268 335 340 439 670 878 1139 1340 1756 2195 2278 4390 4556 5695 7463 8780 11390 14926 22780 29413 29852 37315 58826 74630 117652 147065 149260 294130 500021 588260 1000042 2000084 2500105 5000210 10000420