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11394216 = 23331729107
BaseRepresentation
bin101011011101…
…110010101000
3210102212221000
4223131302220
510404103331
61044115000
7165564201
oct53356250
923385830
1011394216
116482709
123995a60
13248c352
1417285a8
1510010e6
hexaddca8

11394216 has 128 divisors (see below), whose sum is σ = 34992000. Its totient is φ = 3419136.

The previous prime is 11394209. The next prime is 11394217. The reversal of 11394216 is 61249311.

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.

It is a self number, because there is not a number n which added to its sum of digits gives 11394216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11394217) 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 31 ways as a sum of consecutive naturals, for example, 106435 + ... + 106541.

It is an arithmetic number, because the mean of its divisors is an integer number (273375).

Almost surely, 211394216 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 11394216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17496000).

11394216 is an abundant number, since it is smaller than the sum of its proper divisors (23597784).

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

11394216 is a wasteful number, since it uses less digits than its factorization.

11394216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 158 counting only the distinct ones).

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

The square root of 11394216 is about 3375.5319580771. The cubic root of 11394216 is about 225.0236419602.

The spelling of 11394216 in words is "eleven million, three hundred ninety-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 29 34 36 51 54 58 68 72 87 102 107 108 116 136 153 174 204 214 216 232 261 306 321 348 408 428 459 493 522 612 642 696 783 856 918 963 986 1044 1224 1284 1479 1566 1819 1836 1926 1972 2088 2568 2889 2958 3103 3132 3638 3672 3852 3944 4437 5457 5778 5916 6206 6264 7276 7704 8874 9309 10914 11556 11832 12412 13311 14552 16371 17748 18618 21828 23112 24824 26622 27927 32742 35496 37236 43656 49113 52751 53244 55854 65484 74472 83781 98226 105502 106488 111708 130968 158253 167562 196452 211004 223416 316506 335124 392904 422008 474759 633012 670248 949518 1266024 1424277 1899036 2848554 3798072 5697108 11394216