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11234916 = 22337211193
BaseRepresentation
bin101010110110…
…111001100100
3210010210102000
4222312321210
510334004131
61040445300
7164331600
oct52667144
923123360
1011234916
116383a60
123919830
1324349a4
1416c6500
15ebdce6
hexab6e64

11234916 has 144 divisors (see below), whose sum is σ = 37154880. Its totient is φ = 2903040.

The previous prime is 11234891. The next prime is 11234921. The reversal of 11234916 is 61943211.

11234916 = T21 + T22 + ... + T406.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1296) is a multiple of the sum of its prime divisors (216).

It is a self number, because there is not a number n which added to its sum of digits gives 11234916.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 58116 + ... + 58308.

It is an arithmetic number, because the mean of its divisors is an integer number (258020).

Almost surely, 211234916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11234916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18577440).

11234916 is an abundant number, since it is smaller than the sum of its proper divisors (25919964).

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

11234916 is a wasteful number, since it uses less digits than its factorization.

11234916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 216 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 11234916 is about 3351.8526220584. The cubic root of 11234916 is about 223.9700480785.

The spelling of 11234916 in words is "eleven million, two hundred thirty-four thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 49 54 63 66 77 84 98 99 108 126 132 147 154 189 193 196 198 231 252 294 297 308 378 386 396 441 462 539 579 588 594 693 756 772 882 924 1078 1158 1188 1323 1351 1386 1617 1737 1764 2079 2123 2156 2316 2646 2702 2772 3234 3474 4053 4158 4246 4851 5211 5292 5404 6369 6468 6948 8106 8316 8492 9457 9702 10422 12159 12738 14553 14861 16212 18914 19107 19404 20844 24318 25476 28371 29106 29722 36477 37828 38214 44583 48636 56742 57321 58212 59444 72954 76428 85113 89166 104027 113484 114642 133749 145908 170226 178332 208054 229284 255339 267498 312081 340452 401247 416108 510678 534996 624162 802494 936243 1021356 1248324 1604988 1872486 2808729 3744972 5617458 11234916