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272081106 = 23411612503
BaseRepresentation
bin10000001101111…
…010000011010010
3200221222011010000
4100031322003102
51024123043411
642555350430
76512436243
oct2015720322
9627864100
10272081106
1112a645620
1277152416
13444a414b
14281c6cca
1518d46956
hex1037a0d2

272081106 has 80 divisors (see below), whose sum is σ = 676260288. Its totient is φ = 81064800.

The previous prime is 272081077. The next prime is 272081119. The reversal of 272081106 is 601180272.

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

It is a self number, because there is not a number n which added to its sum of digits gives 272081106.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 107451 + ... + 109953.

Almost surely, 2272081106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272081106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338130144).

272081106 is an abundant number, since it is smaller than the sum of its proper divisors (404179182).

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

272081106 is a wasteful number, since it uses less digits than its factorization.

272081106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2589 (or 2580 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 272081106 is about 16494.8812059984. The cubic root of 272081106 is about 647.9867538445.

The spelling of 272081106 in words is "two hundred seventy-two million, eighty-one thousand, one hundred six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 61 66 81 99 122 162 183 198 297 366 549 594 671 891 1098 1342 1647 1782 2013 2503 3294 4026 4941 5006 6039 7509 9882 12078 15018 18117 22527 27533 36234 45054 54351 55066 67581 82599 108702 135162 152683 165198 202743 247797 305366 405486 458049 495594 743391 916098 1374147 1486782 1679513 2230173 2748294 3359026 4122441 4460346 5038539 8244882 10077078 12367323 15115617 24734646 30231234 45346851 90693702 136040553 272081106