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111494304 = 25321013833
BaseRepresentation
bin1101010010101…
…00010010100000
321202210111102200
412221110102200
5212020304204
615021413200
72522454165
oct651242240
9252714380
10111494304
1157a32359
123140a200
131a13957c
1410b4406c
159bc5539
hex6a544a0

111494304 has 72 divisors (see below), whose sum is σ = 320284692. Its totient is φ = 36787200.

The previous prime is 111494303. The next prime is 111494389. The reversal of 111494304 is 403494111.

It can be written as a sum of positive squares in 2 ways, for example, as 109244304 + 2250000 = 10452^2 + 1500^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (111494303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27172 + ... + 31004.

Almost surely, 2111494304 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 111494304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160142346).

111494304 is an abundant number, since it is smaller than the sum of its proper divisors (208790388).

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

111494304 is a wasteful number, since it uses less digits than its factorization.

111494304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3950 (or 3939 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 111494304 is about 10559.0863241097. The cubic root of 111494304 is about 481.3018824371.

The spelling of 111494304 in words is "one hundred eleven million, four hundred ninety-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 101 144 202 288 303 404 606 808 909 1212 1616 1818 2424 3232 3636 3833 4848 7272 7666 9696 11499 14544 15332 22998 29088 30664 34497 45996 61328 68994 91992 122656 137988 183984 275976 367968 387133 551952 774266 1103904 1161399 1548532 2322798 3097064 3484197 4645596 6194128 6968394 9291192 12388256 13936788 18582384 27873576 37164768 55747152 111494304