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11470160 = 2451341269
BaseRepresentation
bin101011110000…
…010101010000
3210120202002202
4223300111100
510414021120
61045502332
7166331462
oct53602520
923522082
1011470160
116524779
123a119a8
1324b7aa0
141748132
151018875
hexaf0550

11470160 has 80 divisors (see below), whose sum is σ = 29529360. Its totient is φ = 4116480.

The previous prime is 11470159. The next prime is 11470163. The reversal of 11470160 is 6107411.

It can be written as a sum of positive squares in 8 ways, for example, as 6031936 + 5438224 = 2456^2 + 2332^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11470163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42506 + ... + 42774.

It is an arithmetic number, because the mean of its divisors is an integer number (369117).

Almost surely, 211470160 is an apocalyptic number.

11470160 is a gapful number since it is divisible by the number (10) 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 11470160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14764680).

11470160 is an abundant number, since it is smaller than the sum of its proper divisors (18059200).

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

11470160 is a wasteful number, since it uses less digits than its factorization.

11470160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 11470160 is about 3386.7624658367. The cubic root of 11470160 is about 225.5224730677.

Adding to 11470160 its reverse (6107411), we get a palindrome (17577571).

The spelling of 11470160 in words is "eleven million, four hundred seventy thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 41 52 65 80 82 104 130 164 205 208 260 269 328 410 520 533 538 656 820 1040 1066 1076 1345 1640 2132 2152 2665 2690 3280 3497 4264 4304 5330 5380 6994 8528 10660 10760 11029 13988 17485 21320 21520 22058 27976 34970 42640 44116 55145 55952 69940 88232 110290 139880 143377 176464 220580 279760 286754 441160 573508 716885 882320 1147016 1433770 2294032 2867540 5735080 11470160