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10478424 = 23311192089
BaseRepresentation
bin100111111110…
…001101011000
3201201100200210
4213332031120
510140302144
61012331120
7155031225
oct47761530
921640623
1010478424
115a07660
123613aa0
13222b568
14156a94c
15dbeab9
hex9fe358

10478424 has 64 divisors (see below), whose sum is σ = 30096000. Its totient is φ = 3006720.

The previous prime is 10478417. The next prime is 10478441. The reversal of 10478424 is 42487401.

It is a junction number, because it is equal to n+sod(n) for n = 10478391 and 10478400.

It is a congruent number.

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, 3972 + ... + 6060.

It is an arithmetic number, because the mean of its divisors is an integer number (470250).

Almost surely, 210478424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10478424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15048000).

10478424 is an abundant number, since it is smaller than the sum of its proper divisors (19617576).

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

10478424 is a wasteful number, since it uses less digits than its factorization.

10478424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2128 (or 2124 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 10478424 is about 3237.0393880829. The cubic root of 10478424 is about 218.8258660391.

The spelling of 10478424 in words is "ten million, four hundred seventy-eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 418 456 627 836 1254 1672 2089 2508 4178 5016 6267 8356 12534 16712 22979 25068 39691 45958 50136 68937 79382 91916 119073 137874 158764 183832 238146 275748 317528 436601 476292 551496 873202 952584 1309803 1746404 2619606 3492808 5239212 10478424