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10424160 = 2533519127
BaseRepresentation
bin100111110000…
…111101100000
3201121121021000
4213300331200
510132033120
61011232000
7154414065
oct47607540
921547230
1010424160
11597a90a
1235a8600
13220c956
141554c6c
15dad990
hex9f0f60

10424160 has 192 divisors, whose sum is σ = 38707200. Its totient is φ = 2612736.

The previous prime is 10424147. The next prime is 10424171. The reversal of 10424160 is 6142401.

10424160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×104241602 = 217326223411200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82017 + ... + 82143.

It is an arithmetic number, because the mean of its divisors is an integer number (201600).

Almost surely, 210424160 is an apocalyptic number.

10424160 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 10424160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19353600).

10424160 is an abundant number, since it is smaller than the sum of its proper divisors (28283040).

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

10424160 is a wasteful number, since it uses less digits than its factorization.

10424160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10424160 is about 3228.6467753534. The cubic root of 10424160 is about 218.4474718688.

Adding to 10424160 its reverse (6142401), we get a palindrome (16566561).

The spelling of 10424160 in words is "ten million, four hundred twenty-four thousand, one hundred sixty".