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111094416 = 2434233727
BaseRepresentation
bin1101001111100…
…10101010010000
321202001011220000
412213302222100
5211420010131
615005050000
72516200266
oct647625220
9252034800
10111094416
1157789974
1231256900
131a029554
1410a7c436
159b46ce6
hex69f2a90

111094416 has 100 divisors (see below), whose sum is σ = 335609472. Its totient is φ = 35411904.

The previous prime is 111094411. The next prime is 111094427. The reversal of 111094416 is 614490111.

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

It is a self number, because there is not a number n which added to its sum of digits gives 111094416.

It is not an unprimeable number, because it can be changed into a prime (111094411) 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 19 ways as a sum of consecutive naturals, for example, 27945 + ... + 31671.

Almost surely, 2111094416 is an apocalyptic number.

111094416 is a gapful number since it is divisible by the number (16) 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 111094416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167804736).

111094416 is an abundant number, since it is smaller than the sum of its proper divisors (224515056).

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

111094416 is a wasteful number, since it uses less digits than its factorization.

111094416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3770 (or 3755 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 111094416 is about 10540.1335854912. The cubic root of 111094416 is about 480.7257770462.

The spelling of 111094416 in words is "one hundred eleven million, ninety-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 81 92 108 138 144 162 184 207 216 276 324 368 414 432 552 621 648 828 1104 1242 1296 1656 1863 2484 3312 3726 3727 4968 7452 7454 9936 11181 14904 14908 22362 29808 29816 33543 44724 59632 67086 85721 89448 100629 134172 171442 178896 201258 257163 268344 301887 342884 402516 514326 536688 603774 685768 771489 805032 1028652 1207548 1371536 1542978 1610064 2057304 2314467 2415096 3085956 4114608 4628934 4830192 6171912 6943401 9257868 12343824 13886802 18515736 27773604 37031472 55547208 111094416