Search a number
-
+
10292469 = 311615113
BaseRepresentation
bin100111010000…
…110011110101
3201100220121120
4213100303311
510113324334
61004334153
7153325125
oct47206365
921326546
1010292469
11589a980
123544359
132194a25
14151cc85
15d84949
hex9d0cf5

10292469 has 16 divisors (see below), whose sum is σ = 15219264. Its totient is φ = 6134400.

The previous prime is 10292459. The next prime is 10292507. The reversal of 10292469 is 96429201.

10292469 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10292469 - 24 = 10292453 is a prime.

It is a super-2 number, since 2×102924692 = 211869836231922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10292459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 544 + ... + 4569.

It is an arithmetic number, because the mean of its divisors is an integer number (951204).

Almost surely, 210292469 is an apocalyptic number.

It is an amenable number.

10292469 is a deficient number, since it is larger than the sum of its proper divisors (4926795).

10292469 is a wasteful number, since it uses less digits than its factorization.

10292469 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5188.

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 10292469 is about 3208.1878062233. The cubic root of 10292469 is about 217.5236703001.

The spelling of 10292469 in words is "ten million, two hundred ninety-two thousand, four hundred sixty-nine".

Divisors: 1 3 11 33 61 183 671 2013 5113 15339 56243 168729 311893 935679 3430823 10292469