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11470368 = 2537132101
BaseRepresentation
bin101011110000…
…011000100000
3210120202101110
4223300120200
510414022433
61045503320
7166332210
oct53603040
923522343
1011470368
116524948
123a11b40
1324b7c00
141748240
151018963
hexaf0620

11470368 has 144 divisors (see below), whose sum is σ = 37630656. Its totient is φ = 2995200.

The previous prime is 11470343. The next prime is 11470373. The reversal of 11470368 is 86307411.

It is a happy number.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113518 + ... + 113618.

It is an arithmetic number, because the mean of its divisors is an integer number (261324).

Almost surely, 211470368 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 11470368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18815328).

11470368 is an abundant number, since it is smaller than the sum of its proper divisors (26160288).

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

11470368 is a wasteful number, since it uses less digits than its factorization.

11470368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 11470368 is about 3386.7931734902. The cubic root of 11470368 is about 225.5238362684.

Adding to 11470368 its reverse (86307411), we get a palindrome (97777779).

The spelling of 11470368 in words is "eleven million, four hundred seventy thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 101 104 112 156 168 169 182 202 208 224 273 303 312 336 338 364 404 416 507 546 606 624 672 676 707 728 808 1014 1092 1183 1212 1248 1313 1352 1414 1456 1616 2028 2121 2184 2366 2424 2626 2704 2828 2912 3232 3549 3939 4056 4242 4368 4732 4848 5252 5408 5656 7098 7878 8112 8484 8736 9191 9464 9696 10504 11312 14196 15756 16224 16968 17069 18382 18928 21008 22624 27573 28392 31512 33936 34138 36764 37856 42016 51207 55146 56784 63024 67872 68276 73528 102414 110292 113568 119483 126048 136552 147056 204828 220584 238966 273104 294112 358449 409656 441168 477932 546208 716898 819312 882336 955864 1433796 1638624 1911728 2867592 3823456 5735184 11470368