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27690320 = 2457197251
BaseRepresentation
bin110100110100…
…0010101010000
31221002210222102
41221220111100
524042042240
62425255532
7454235540
oct151502520
957083872
1027690320
11146a3169
1293345a8
135976908
14396b320
15266e815
hex1a68550

27690320 has 80 divisors (see below), whose sum is σ = 74245248. Its totient is φ = 9408000.

The previous prime is 27690317. The next prime is 27690337. The reversal of 27690320 is 2309672.

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

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, 110195 + ... + 110445.

Almost surely, 227690320 is an apocalyptic number.

27690320 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 27690320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37122624).

27690320 is an abundant number, since it is smaller than the sum of its proper divisors (46554928).

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

27690320 is a wasteful number, since it uses less digits than its factorization.

27690320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 27690320 is about 5262.1592526262. The cubic root of 27690320 is about 302.5352553222.

Adding to 27690320 its reverse (2309672), we get a palindrome (29999992).

The spelling of 27690320 in words is "twenty-seven million, six hundred ninety thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 197 251 280 394 502 560 788 985 1004 1255 1379 1576 1757 1970 2008 2510 2758 3152 3514 3940 4016 5020 5516 6895 7028 7880 8785 10040 11032 13790 14056 15760 17570 20080 22064 27580 28112 35140 49447 55160 70280 98894 110320 140560 197788 247235 346129 395576 494470 692258 791152 988940 1384516 1730645 1977880 2769032 3461290 3955760 5538064 6922580 13845160 27690320