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111478356 = 223411311009
BaseRepresentation
bin1101010010100…
…00011001010100
321202202200120000
412221100121110
5212014301411
615021211300
72522356533
oct651203124
9252680500
10111478356
1157a21380
1231400b30
131a132232
1410b3c31a
159bc0956
hex6a50654

111478356 has 120 divisors (see below), whose sum is σ = 328500480. Its totient is φ = 32659200.

The previous prime is 111478351. The next prime is 111478357. The reversal of 111478356 is 653874111.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 111478356.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111478351) 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 39 ways as a sum of consecutive naturals, for example, 109980 + ... + 110988.

It is an arithmetic number, because the mean of its divisors is an integer number (2737504).

Almost surely, 2111478356 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 111478356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164250240).

111478356 is an abundant number, since it is smaller than the sum of its proper divisors (217022124).

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

111478356 is a wasteful number, since it uses less digits than its factorization.

111478356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1056 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 111478356 is about 10558.3311181266. The cubic root of 111478356 is about 481.2789330781.

It can be divided in two parts, 11147 and 8356, that added together give a triangular number (19503 = T197).

The spelling of 111478356 in words is "one hundred eleven million, four hundred seventy-eight thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 31 33 36 44 54 62 66 81 93 99 108 124 132 162 186 198 279 297 324 341 372 396 558 594 682 837 891 1009 1023 1116 1188 1364 1674 1782 2018 2046 2511 3027 3069 3348 3564 4036 4092 5022 6054 6138 9081 9207 10044 11099 12108 12276 18162 18414 22198 27243 27621 31279 33297 36324 36828 44396 54486 55242 62558 66594 81729 93837 99891 108972 110484 125116 133188 163458 187674 199782 281511 299673 326916 344069 375348 399564 563022 599346 688138 844533 899019 1032207 1126044 1198692 1376276 1689066 1798038 2064414 2533599 3096621 3378132 3596076 4128828 5067198 6193242 9289863 10134396 12386484 18579726 27869589 37159452 55739178 111478356