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11919414 = 23131789101
BaseRepresentation
bin101101011110…
…000000110110
3211102120100210
4231132000312
511022410124
61103250250
7203212323
oct55360066
924376323
1011919414
116801261
123ba9986
132614410
141823b4a
1510a6a29
hexb5e036

11919414 has 64 divisors (see below), whose sum is σ = 27760320. Its totient is φ = 3379200.

The previous prime is 11919379. The next prime is 11919421. The reversal of 11919414 is 41491911.

11919414 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117964 + ... + 118064.

It is an arithmetic number, because the mean of its divisors is an integer number (433755).

Almost surely, 211919414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11919414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13880160).

11919414 is an abundant number, since it is smaller than the sum of its proper divisors (15840906).

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

11919414 is a wasteful number, since it uses less digits than its factorization.

11919414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225.

The product of its digits is 1296, while the sum is 30.

The square root of 11919414 is about 3452.4504341120. The cubic root of 11919414 is about 228.4292084393.

The spelling of 11919414 in words is "eleven million, nine hundred nineteen thousand, four hundred fourteen".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 89 101 102 178 202 221 267 303 442 534 606 663 1157 1313 1326 1513 1717 2314 2626 3026 3434 3471 3939 4539 5151 6942 7878 8989 9078 10302 17978 19669 22321 26967 39338 44642 53934 59007 66963 116857 118014 133926 152813 233714 305626 350571 458439 701142 916878 1986569 3973138 5959707 11919414