Search a number
-
+
10429056 = 273211823
BaseRepresentation
bin100111110010…
…001010000000
3201121211222100
4213302022000
510132212211
61011310400
7154434261
oct47621200
921554870
1010429056
115983560
1235ab400
132211c51
141556968
15db0156
hex9f2280

10429056 has 96 divisors (see below), whose sum is σ = 32778720. Its totient is φ = 3156480.

The previous prime is 10429049. The next prime is 10429057. The reversal of 10429056 is 65092401.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×104290562 = 217530418102272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10429057) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12261 + ... + 13083.

It is an arithmetic number, because the mean of its divisors is an integer number (341445).

Almost surely, 210429056 is an apocalyptic number.

10429056 is a gapful number since it is divisible by the number (16) 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 10429056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16389360).

10429056 is an abundant number, since it is smaller than the sum of its proper divisors (22349664).

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

10429056 is a wasteful number, since it uses less digits than its factorization.

10429056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 10429056 is about 3229.4048987391. The cubic root of 10429056 is about 218.4816665161.

The spelling of 10429056 in words is "ten million, four hundred twenty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 352 384 396 528 576 704 792 823 1056 1152 1408 1584 1646 2112 2469 3168 3292 4224 4938 6336 6584 7407 9053 9876 12672 13168 14814 18106 19752 26336 27159 29628 36212 39504 52672 54318 59256 72424 79008 81477 105344 108636 118512 144848 158016 162954 217272 237024 289696 316032 325908 434544 474048 579392 651816 869088 948096 1158784 1303632 1738176 2607264 3476352 5214528 10429056