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27310296 = 233131719271
BaseRepresentation
bin110100000101…
…1100011011000
31220101111200110
41220023203120
523442412141
62413204320
7451063566
oct150134330
956344613
1027310296
11144636a2
1291906a0
135872950
1438aca36
1525e6e16
hex1a0b8d8

27310296 has 128 divisors (see below), whose sum is σ = 82252800. Its totient is φ = 7464960.

The previous prime is 27310247. The next prime is 27310301. The reversal of 27310296 is 69201372.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100641 + ... + 100911.

It is an arithmetic number, because the mean of its divisors is an integer number (642600).

Almost surely, 227310296 is an apocalyptic number.

27310296 is a gapful number since it is divisible by the number (26) 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 27310296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41126400).

27310296 is an abundant number, since it is smaller than the sum of its proper divisors (54942504).

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

27310296 is a wasteful number, since it uses less digits than its factorization.

27310296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 27310296 is about 5225.9253726015. The cubic root of 27310296 is about 301.1448697971.

The spelling of 27310296 in words is "twenty-seven million, three hundred ten thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 17 19 24 26 34 38 39 51 52 57 68 76 78 102 104 114 136 152 156 204 221 228 247 271 312 323 408 442 456 494 542 646 663 741 813 884 969 988 1084 1292 1326 1482 1626 1768 1938 1976 2168 2584 2652 2964 3252 3523 3876 4199 4607 5149 5304 5928 6504 7046 7752 8398 9214 10298 10569 12597 13821 14092 15447 16796 18428 20596 21138 25194 27642 28184 30894 33592 36856 41192 42276 50388 55284 59891 61788 66937 84552 87533 100776 110568 119782 123576 133874 175066 179673 200811 239564 262599 267748 350132 359346 401622 479128 525198 535496 700264 718692 803244 1050396 1137929 1437384 1606488 2100792 2275858 3413787 4551716 6827574 9103432 13655148 27310296