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27244980 = 22325723089
BaseRepresentation
bin110011111101…
…1100110110100
31220021012002100
41213323212310
523433314410
62411542100
7450402300
oct147734664
956235070
1027244980
1114419614
12915a930
13584bcb9
143892d00
1525d28c0
hex19fb9b4

27244980 has 108 divisors (see below), whose sum is σ = 96166980. Its totient is φ = 6225408.

The previous prime is 27244963. The next prime is 27244991. The reversal of 27244980 is 8944272.

It can be written as a sum of positive squares in 2 ways, for example, as 18352656 + 8892324 = 4284^2 + 2982^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7276 + ... + 10364.

It is an arithmetic number, because the mean of its divisors is an integer number (890435).

Almost surely, 227244980 is an apocalyptic number.

27244980 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 27244980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48083490).

27244980 is an abundant number, since it is smaller than the sum of its proper divisors (68922000).

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

27244980 is a wasteful number, since it uses less digits than its factorization.

27244980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3118 (or 3106 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 27244980 is about 5219.6724035135. The cubic root of 27244980 is about 300.9046029037.

It can be divided in two parts, 27244 and 980, that added together give a square (28224 = 1682).

The spelling of 27244980 in words is "twenty-seven million, two hundred forty-four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 3089 4410 6178 8820 9267 12356 15445 18534 21623 27801 30890 37068 43246 46335 55602 61780 64869 86492 92670 108115 111204 129738 139005 151361 185340 194607 216230 259476 278010 302722 324345 389214 432460 454083 556020 605444 648690 756805 778428 908166 973035 1297380 1362249 1513610 1816332 1946070 2270415 2724498 3027220 3892140 4540830 5448996 6811245 9081660 13622490 27244980