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27296080 = 245779617
BaseRepresentation
bin110100000100…
…0000101010000
31220100210011221
41220020011100
523441433310
62413014424
7451004260
oct150100520
956323157
1027296080
1114453a49
129184414
135869336
1438a77a0
1525e2ada
hex1a08150

27296080 has 80 divisors (see below), whose sum is σ = 73566720. Its totient is φ = 9225216.

The previous prime is 27296063. The next prime is 27296081. The reversal of 27296080 is 8069272.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27296081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43932 + ... + 44548.

It is an arithmetic number, because the mean of its divisors is an integer number (919584).

Almost surely, 227296080 is an apocalyptic number.

27296080 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 27296080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36783360).

27296080 is an abundant number, since it is smaller than the sum of its proper divisors (46270640).

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

27296080 is a wasteful number, since it uses less digits than its factorization.

27296080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 27296080 is about 5224.5650536671. The cubic root of 27296080 is about 301.0926084509.

The spelling of 27296080 in words is "twenty-seven million, two hundred ninety-six thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 79 80 112 140 158 280 316 395 553 560 617 632 790 1106 1234 1264 1580 2212 2468 2765 3085 3160 4319 4424 4936 5530 6170 6320 8638 8848 9872 11060 12340 17276 21595 22120 24680 34552 43190 44240 48743 49360 69104 86380 97486 172760 194972 243715 341201 345520 389944 487430 682402 779888 974860 1364804 1706005 1949720 2729608 3412010 3899440 5459216 6824020 13648040 27296080