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27172080 = 24325132903
BaseRepresentation
bin110011110100…
…1110011110000
31220010111002100
41213221303300
523424001310
62410220400
7446646615
oct147516360
956114070
1027172080
1114379871
129124700
135824a70
14387450c
1525baec0
hex19e9cf0

27172080 has 120 divisors (see below), whose sum is σ = 98306208. Its totient is φ = 6686208.

The previous prime is 27172009. The next prime is 27172099. The reversal of 27172080 is 8027172.

It is a tau number, because it is divible by the number of its divisors (120).

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, 7909 + ... + 10811.

Almost surely, 227172080 is an apocalyptic number.

27172080 is a gapful number since it is divisible by the number (20) 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 27172080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49153104).

27172080 is an abundant number, since it is smaller than the sum of its proper divisors (71134128).

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

27172080 is a wasteful number, since it uses less digits than its factorization.

27172080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2935 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 27172080 is about 5212.6845291078. The cubic root of 27172080 is about 300.6359841279.

The spelling of 27172080 in words is "twenty-seven million, one hundred seventy-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 2903 3120 4680 5806 8709 9360 11612 14515 17418 23224 26127 29030 34836 37739 43545 46448 52254 58060 69672 75478 87090 104508 113217 116120 130635 139344 150956 174180 188695 209016 226434 232240 261270 301912 339651 348360 377390 418032 452868 522540 566085 603824 679302 696720 754780 905736 1045080 1132170 1358604 1509560 1698255 1811472 2090160 2264340 2717208 3019120 3396510 4528680 5434416 6793020 9057360 13586040 27172080