Search a number
-
+
1053287469 = 34131000273
BaseRepresentation
bin111110110001111…
…110010000101101
32201101221112210000
4332301332100231
54124120144334
6252303334513
735046536643
oct7661762055
92641845700
101053287469
114a060a513
122548b1439
1313a2a6a30
149dc5d193
156270a299
hex3ec7e42d

1053287469 has 20 divisors (see below), whose sum is σ = 1694464156. Its totient is φ = 648176256.

The previous prime is 1053287467. The next prime is 1053287483. The reversal of 1053287469 is 9647823501.

1053287469 is a `hidden beast` number, since 105 + 3 + 2 + 87 + 469 = 666.

1053287469 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 218655369 + 834632100 = 14787^2 + 28890^2 .

It is not a de Polignac number, because 1053287469 - 21 = 1053287467 is a prime.

It is a super-2 number, since 2×10532874692 = 2218828984704851922, which contains 22 as substring.

It is a Duffinian number.

1053287469 is a modest number, since divided by 287469 gives 1053 as remainder.

1053287469 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053287467) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 499084 + ... + 501189.

It is a 3-persistent number, because k⋅1053287469 is pandigital for 1 ≤ k ≤ 3, but not for k = 4.

Almost surely, 21053287469 is an apocalyptic number.

It is an amenable number.

1053287469 is a deficient number, since it is larger than the sum of its proper divisors (641176687).

1053287469 is a wasteful number, since it uses less digits than its factorization.

1053287469 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000298 (or 1000289 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1053287469 is about 32454.3905966512. The cubic root of 1053287469 is about 1017.4560045531.

The spelling of 1053287469 in words is "one billion, fifty-three million, two hundred eighty-seven thousand, four hundred sixty-nine".

Divisors: 1 3 9 13 27 39 81 117 351 1053 1000273 3000819 9002457 13003549 27007371 39010647 81022113 117031941 351095823 1053287469