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1106427169 = 292312372
BaseRepresentation
bin100000111110010…
…1011110100100001
32212002221022202001
41001330223310201
54231221132134
6301442324001
736263322121
oct10174536441
92762838661
101106427169
11518605121
1226a659601
131482c1243
14a6d32c81
1567205414
hex41f2bd21

1106427169 has 27 divisors (see below), whose sum is σ = 1216918521. Its totient is φ = 1005873120.

The previous prime is 1106427149. The next prime is 1106427191. The reversal of 1106427169 is 9617246011.

The square root of 1106427169 is 33263.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 235469025 + 870958144 = 15345^2 + 29512^2 .

It is not a de Polignac number, because 1106427169 - 25 = 1106427137 is a prime.

It is a super-2 number, since 2×11064271692 = 2448362160602709122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1106427149) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 29903419 + ... + 29903455.

Almost surely, 21106427169 is an apocalyptic number.

1106427169 is the 33263-rd square number.

1106427169 is the 16632-nd centered octagonal number.

It is an amenable number.

1106427169 is a deficient number, since it is larger than the sum of its proper divisors (110491352).

1106427169 is an frugal number, since it uses more digits than its factorization.

1106427169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The cubic root of 1106427169 is about 1034.2867090134.

It can be divided in two parts, 1106 and 427169, that added together give a triangular number (428275 = T925).

The spelling of 1106427169 in words is "one billion, one hundred six million, four hundred twenty-seven thousand, one hundred sixty-nine".

Divisors: 1 29 31 37 841 899 961 1073 1147 1369 26071 27869 31117 33263 35557 39701 42439 808201 964627 1031153 1151329 1230731 1315609 29903437 35691199 38152661 1106427169