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10429041 = 3717131223
BaseRepresentation
bin100111110010…
…001001110001
3201121211221210
4213302021301
510132212131
61011310333
7154434240
oct47621161
921554853
1010429041
115983547
1235ab3a9
132211c3c
141556957
15db0146
hex9f2271

10429041 has 32 divisors (see below), whose sum is σ = 17031168. Its totient is φ = 5541120.

The previous prime is 10429037. The next prime is 10429049. The reversal of 10429041 is 14092401.

10429041 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 10429041 - 22 = 10429037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10428999 and 10429017.

It is not an unprimeable number, because it can be changed into a prime (10429049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46656 + ... + 46878.

It is an arithmetic number, because the mean of its divisors is an integer number (532224).

Almost surely, 210429041 is an apocalyptic number.

It is an amenable number.

10429041 is a deficient number, since it is larger than the sum of its proper divisors (6602127).

10429041 is a wasteful number, since it uses less digits than its factorization.

With its successor (10429042) it forms an eRAP, since the sums of their prime factors are consecutive (381 and 382).

10429041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 10429041 is about 3229.4025763289. The cubic root of 10429041 is about 218.4815617694.

The spelling of 10429041 in words is "ten million, four hundred twenty-nine thousand, forty-one".

Divisors: 1 3 7 17 21 51 119 131 223 357 393 669 917 1561 2227 2751 3791 4683 6681 11373 15589 26537 29213 46767 79611 87639 204491 496621 613473 1489863 3476347 10429041