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11909401 = 72172292
BaseRepresentation
bin101101011011…
…100100011001
3211102001121221
4231123210121
511022100101
61103132041
7203141200
oct55334431
924361557
1011909401
1167a4789
123ba4021
13260c9aa
141820237
1510a3aa1
hexb5b919

11909401 has 27 divisors (see below), whose sum is σ = 15241629. Its totient is φ = 9276288.

The previous prime is 11909399. The next prime is 11909411. The reversal of 11909401 is 10490911.

The square root of 11909401 is 3451.

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 1177225 + 10732176 = 1085^2 + 3276^2 .

It is not a de Polignac number, because 11909401 - 21 = 11909399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11909411) 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 26 ways as a sum of consecutive naturals, for example, 410655 + ... + 410683.

Almost surely, 211909401 is an apocalyptic number.

11909401 is the 3451-st square number.

11909401 is the 1726-th centered octagonal number.

It is an amenable number.

11909401 is a deficient number, since it is larger than the sum of its proper divisors (3332228).

11909401 is an equidigital number, since it uses as much as digits as its factorization.

11909401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 25.

The cubic root of 11909401 is about 228.3652259191.

Multiplying 11909401 by its sum of digits (25), we get a square (297735025 = 172552).

Multiplying 11909401 by its product of nonzero digits (324), we get a square (3858645924 = 621182).

The spelling of 11909401 in words is "eleven million, nine hundred nine thousand, four hundred one".

Divisors: 1 7 17 29 49 119 203 289 493 833 841 1421 2023 3451 5887 8381 14161 14297 24157 41209 58667 100079 243049 410669 700553 1701343 11909401