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27672030 = 2345127269
BaseRepresentation
bin110100110001…
…1110111011110
31221001212220000
41221203313132
524041001110
62425035130
7454131321
oct151436736
957055800
1027672030
1114690451
129325aa6
13596b4a9
1439647b8
1526691c0
hex1a63dde

27672030 has 80 divisors (see below), whose sum is σ = 75271680. Its totient is φ = 7293888.

The previous prime is 27671993. The next prime is 27672031. The reversal of 27672030 is 3027672.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 27671985 and 27672003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27672031) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 102736 + ... + 103004.

It is an arithmetic number, because the mean of its divisors is an integer number (940896).

Almost surely, 227672030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27672030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37635840).

27672030 is an abundant number, since it is smaller than the sum of its proper divisors (47599650).

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

27672030 is a wasteful number, since it uses less digits than its factorization.

27672030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 27672030 is about 5260.4210858067. The cubic root of 27672030 is about 302.4686304925.

The spelling of 27672030 in words is "twenty-seven million, six hundred seventy-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 127 135 162 254 269 270 381 405 538 635 762 807 810 1143 1270 1345 1614 1905 2286 2421 2690 3429 3810 4035 4842 5715 6858 7263 8070 10287 11430 12105 14526 17145 20574 21789 24210 34163 34290 36315 43578 51435 68326 72630 102489 102870 108945 170815 204978 217890 307467 341630 512445 614934 922401 1024890 1537335 1844802 2767203 3074670 4612005 5534406 9224010 13836015 27672030