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111419064 = 23341391237
BaseRepresentation
bin1101010010000…
…01111010111000
321202122200020000
412221001322320
5212010402224
615020033000
72522021631
oct651017270
9252580200
10111419064
1157990879
1231392760
131a111253
1410b24888
159bad0c9
hex6a41eb8

111419064 has 80 divisors (see below), whose sum is σ = 314575800. Its totient is φ = 36842688.

The previous prime is 111419039. The next prime is 111419089. The reversal of 111419064 is 460914111.

It is an interprime number because it is at equal distance from previous prime (111419039) and next prime (111419089).

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

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 89454 + ... + 90690.

Almost surely, 2111419064 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 111419064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157287900).

111419064 is an abundant number, since it is smaller than the sum of its proper divisors (203156736).

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

111419064 is a wasteful number, since it uses less digits than its factorization.

111419064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 1381 counting only the distinct ones).

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

The square root of 111419064 is about 10555.5229145694. The cubic root of 111419064 is about 481.1935919943.

The spelling of 111419064 in words is "one hundred eleven million, four hundred nineteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 139 162 216 278 324 417 556 648 834 1112 1237 1251 1668 2474 2502 3336 3711 3753 4948 5004 7422 7506 9896 10008 11133 11259 14844 15012 22266 22518 29688 30024 33399 44532 45036 66798 89064 90072 100197 133596 171943 200394 267192 343886 400788 515829 687772 801576 1031658 1375544 1547487 2063316 3094974 4126632 4642461 6189948 9284922 12379896 13927383 18569844 27854766 37139688 55709532 111419064