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27894420 = 22325314999
BaseRepresentation
bin110101001101…
…0001010010100
31221111011221200
41222122022110
524120110140
62433512500
7456045561
oct152321224
957434850
1027894420
1114822544
129412730
135a18798
1439c1868
1526b0030
hex1a9a294

27894420 has 72 divisors (see below), whose sum is σ = 87360000. Its totient is φ = 7197120.

The previous prime is 27894379. The next prime is 27894421. The reversal of 27894420 is 2449872.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27894421) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3081 + ... + 8079.

Almost surely, 227894420 is an apocalyptic number.

27894420 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 27894420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43680000).

27894420 is an abundant number, since it is smaller than the sum of its proper divisors (59465580).

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

27894420 is a wasteful number, since it uses less digits than its factorization.

27894420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5045 (or 5040 counting only the distinct ones).

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

The square root of 27894420 is about 5281.5168275790. The cubic root of 27894420 is about 303.2767461430.

The spelling of 27894420 in words is "twenty-seven million, eight hundred ninety-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 4999 5580 9998 14997 19996 24995 29994 44991 49990 59988 74985 89982 99980 149970 154969 179964 224955 299940 309938 449910 464907 619876 774845 899820 929814 1394721 1549690 1859628 2324535 2789442 3099380 4649070 5578884 6973605 9298140 13947210 27894420