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27930336 = 253789467
BaseRepresentation
bin110101010001…
…0111011100000
31221120000012220
41222202323200
524122232321
62434351040
7456255360
oct152427340
957500186
1027930336
1114847525
12942b480
135a2bc35
1439d09a0
1526ba9c6
hex1aa2ee0

27930336 has 96 divisors (see below), whose sum is σ = 84913920. Its totient is φ = 7873536.

The previous prime is 27930283. The next prime is 27930341. The reversal of 27930336 is 63303972.

27930336 = T85 + T86 + ... + T551.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 27930297 and 27930306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59575 + ... + 60041.

It is an arithmetic number, because the mean of its divisors is an integer number (884520).

Almost surely, 227930336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27930336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42456960).

27930336 is an abundant number, since it is smaller than the sum of its proper divisors (56983584).

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

27930336 is a wasteful number, since it uses less digits than its factorization.

27930336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 33.

The square root of 27930336 is about 5284.9158933705. The cubic root of 27930336 is about 303.4068535983.

The spelling of 27930336 in words is "twenty-seven million, nine hundred thirty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 89 96 112 168 178 224 267 336 356 467 534 623 672 712 934 1068 1246 1401 1424 1868 1869 2136 2492 2802 2848 3269 3736 3738 4272 4984 5604 6538 7472 7476 8544 9807 9968 11208 13076 14944 14952 19614 19936 22416 26152 29904 39228 41563 44832 52304 59808 78456 83126 104608 124689 156912 166252 249378 290941 313824 332504 498756 581882 665008 872823 997512 1163764 1330016 1745646 1995024 2327528 3491292 3990048 4655056 6982584 9310112 13965168 27930336