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10429005 = 3519233743
BaseRepresentation
bin100111110010…
…001001001101
3201121211220110
4213302021031
510132212010
61011310233
7154434156
oct47621115
921554813
1010429005
115983514
1235ab379
132211c12
14155692d
15db0120
hex9f224d

10429005 has 64 divisors (see below), whose sum is σ = 19261440. Its totient is φ = 4790016.

The previous prime is 10428997. The next prime is 10429021. The reversal of 10429005 is 50092401.

10429005 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10429005 - 23 = 10428997 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 242514 + ... + 242556.

It is an arithmetic number, because the mean of its divisors is an integer number (300960).

Almost surely, 210429005 is an apocalyptic number.

10429005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10429005 is a deficient number, since it is larger than the sum of its proper divisors (8832435).

10429005 is a wasteful number, since it uses less digits than its factorization.

10429005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 10429005 is about 3229.3970025378. The cubic root of 10429005 is about 218.4813103770.

The spelling of 10429005 in words is "ten million, four hundred twenty-nine thousand, five".

Divisors: 1 3 5 15 19 23 37 43 57 69 95 111 115 129 185 215 285 345 437 555 645 703 817 851 989 1311 1591 2109 2185 2451 2553 2967 3515 4085 4255 4773 4945 6555 7955 10545 12255 12765 14835 16169 18791 23865 30229 36593 48507 56373 80845 90687 93955 109779 151145 182965 242535 281865 453435 548895 695267 2085801 3476335 10429005