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10035424 = 25771631
BaseRepresentation
bin100110010010…
…000011100000
3200212212000101
4212102003200
510032113144
6555032144
7151204540
oct46220340
920785011
1010035424
115734843
12343b654
132104a29
141493320
15d336d4
hex9920e0

10035424 has 48 divisors (see below), whose sum is σ = 22934016. Its totient is φ = 4233600.

The previous prime is 10035419. The next prime is 10035427. The reversal of 10035424 is 42453001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10035427) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15589 + ... + 16219.

It is an arithmetic number, because the mean of its divisors is an integer number (477792).

Almost surely, 210035424 is an apocalyptic number.

10035424 is a gapful number since it is divisible by the number (14) 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 10035424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11467008).

10035424 is an abundant number, since it is smaller than the sum of its proper divisors (12898592).

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

10035424 is an equidigital number, since it uses as much as digits as its factorization.

10035424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 10035424 is about 3167.8737348575. The cubic root of 10035424 is about 215.6975648508.

Adding to 10035424 its reverse (42453001), we get a palindrome (52488425).

The spelling of 10035424 in words is "ten million, thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 71 112 142 224 284 497 568 631 994 1136 1262 1988 2272 2524 3976 4417 5048 7952 8834 10096 15904 17668 20192 35336 44801 70672 89602 141344 179204 313607 358408 627214 716816 1254428 1433632 2508856 5017712 10035424