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11211672 = 23319231069
BaseRepresentation
bin101010110001…
…001110011000
3210002121112010
4222301032120
510332233142
61040145520
7164204043
oct52611630
923077463
1011211672
11636854a
1239082a0
132427234
1416bbc5a
15eb6e9c
hexab1398

11211672 has 64 divisors (see below), whose sum is σ = 30816000. Its totient is φ = 3383424.

The previous prime is 11211671. The next prime is 11211689. The reversal of 11211672 is 27611211.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11211671) 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, 9954 + ... + 11022.

It is an arithmetic number, because the mean of its divisors is an integer number (481500).

Almost surely, 211211672 is an apocalyptic number.

11211672 is a gapful number since it is divisible by the number (12) 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 11211672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15408000).

11211672 is an abundant number, since it is smaller than the sum of its proper divisors (19604328).

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

11211672 is a wasteful number, since it uses less digits than its factorization.

11211672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1116 counting only the distinct ones).

The product of its digits is 168, while the sum is 21.

The square root of 11211672 is about 3348.3834905817. The cubic root of 11211672 is about 223.8154836787.

Adding to 11211672 its reverse (27611211), we get a palindrome (38822883).

The spelling of 11211672 in words is "eleven million, two hundred eleven thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 19 23 24 38 46 57 69 76 92 114 138 152 184 228 276 437 456 552 874 1069 1311 1748 2138 2622 3207 3496 4276 5244 6414 8552 10488 12828 20311 24587 25656 40622 49174 60933 73761 81244 98348 121866 147522 162488 196696 243732 295044 467153 487464 590088 934306 1401459 1868612 2802918 3737224 5605836 11211672