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10417420 = 22513103389
BaseRepresentation
bin100111101111…
…010100001100
3201121021000101
4213233110030
510131324140
61011140444
7154355326
oct47572414
921537011
1010417420
115975842
1235a4724
132209870
141552616
15dab99a
hex9ef50c

10417420 has 48 divisors (see below), whose sum is σ = 23849280. Its totient is φ = 3799296.

The previous prime is 10417399. The next prime is 10417423. The reversal of 10417420 is 2471401.

It is not an unprimeable number, because it can be changed into a prime (10417423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26586 + ... + 26974.

It is an arithmetic number, because the mean of its divisors is an integer number (496860).

Almost surely, 210417420 is an apocalyptic number.

10417420 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 10417420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11924640).

10417420 is an abundant number, since it is smaller than the sum of its proper divisors (13431860).

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

10417420 is a wasteful number, since it uses less digits than its factorization.

10417420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 10417420 is about 3227.6028256277. The cubic root of 10417420 is about 218.4003808354.

Adding to 10417420 its reverse (2471401), we get a palindrome (12888821).

The spelling of 10417420 in words is "ten million, four hundred seventeen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 103 130 206 260 389 412 515 778 1030 1339 1556 1945 2060 2678 3890 5057 5356 6695 7780 10114 13390 20228 25285 26780 40067 50570 80134 101140 160268 200335 400670 520871 801340 1041742 2083484 2604355 5208710 10417420