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27112470 = 235711397
BaseRepresentation
bin110011101101…
…1010000010110
31220000110022120
41213123100112
523420044340
62405040410
7446311050
oct147332026
956013276
1027112470
1114339000
1290b6106
1358038a8
14385a8d0
1525a84d0
hex19db416

27112470 has 128 divisors (see below), whose sum is σ = 82639872. Its totient is φ = 5575680.

The previous prime is 27112457. The next prime is 27112493. The reversal of 27112470 is 7421172.

It is a self number, because there is not a number n which added to its sum of digits gives 27112470.

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 63 ways as a sum of consecutive naturals, for example, 279462 + ... + 279558.

It is an arithmetic number, because the mean of its divisors is an integer number (645624).

Almost surely, 227112470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27112470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41319936).

27112470 is an abundant number, since it is smaller than the sum of its proper divisors (55527402).

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

27112470 is a wasteful number, since it uses less digits than its factorization.

27112470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 27112470 is about 5206.9636065561. The cubic root of 27112470 is about 300.4159784953.

The spelling of 27112470 in words is "twenty-seven million, one hundred twelve thousand, four hundred seventy".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 97 105 110 121 154 165 194 210 231 242 291 330 363 385 462 485 582 605 679 726 770 847 970 1067 1155 1210 1331 1358 1455 1694 1815 2037 2134 2310 2541 2662 2910 3201 3395 3630 3993 4074 4235 5082 5335 6402 6655 6790 7469 7986 8470 9317 10185 10670 11737 12705 13310 14938 16005 18634 19965 20370 22407 23474 25410 27951 32010 35211 37345 39930 44814 46585 55902 58685 70422 74690 82159 93170 112035 117370 129107 139755 164318 176055 224070 246477 258214 279510 352110 387321 410795 492954 645535 774642 821590 903749 1232385 1291070 1807498 1936605 2464770 2711247 3873210 4518745 5422494 9037490 13556235 27112470