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11406164 = 22711291277
BaseRepresentation
bin101011100000…
…101101010100
3210110111022112
4223200231110
510404444124
61044250152
7165644060
oct53405524
923414275
1011406164
116490690
1239a0958
132494913
14172caa0
15100490e
hexae0b54

11406164 has 48 divisors (see below), whose sum is σ = 25764480. Its totient is φ = 4287360.

The previous prime is 11406149. The next prime is 11406169. The reversal of 11406164 is 46160411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11406169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8294 + ... + 9570.

It is an arithmetic number, because the mean of its divisors is an integer number (536760).

Almost surely, 211406164 is an apocalyptic number.

11406164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11406164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12882240).

11406164 is an abundant number, since it is smaller than the sum of its proper divisors (14358316).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11406164 is a wasteful number, since it uses less digits than its factorization.

11406164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 11406164 is about 3377.3012894914. The cubic root of 11406164 is about 225.1022679130.

Adding to 11406164 its reverse (46160411), we get a palindrome (57566575).

The spelling of 11406164 in words is "eleven million, four hundred six thousand, one hundred sixty-four".

Divisors: 1 2 4 7 11 14 22 28 29 44 58 77 116 154 203 308 319 406 638 812 1276 1277 2233 2554 4466 5108 8932 8939 14047 17878 28094 35756 37033 56188 74066 98329 148132 196658 259231 393316 407363 518462 814726 1036924 1629452 2851541 5703082 11406164