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27423220 = 22511314021
BaseRepresentation
bin110100010011…
…1000111110100
31220121020120211
41220213013310
524010020340
62415435204
7452044036
oct150470764
956536524
1027423220
1114530520
129225b04
1358b2176
1438dbc56
15261a5ea
hex1a271f4

27423220 has 48 divisors (see below), whose sum is σ = 64866816. Its totient is φ = 9648000.

The previous prime is 27423211. The next prime is 27423223. The reversal of 27423220 is 2232472.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 27423191 and 27423200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27423223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4810 + ... + 8830.

It is an arithmetic number, because the mean of its divisors is an integer number (1351392).

Almost surely, 227423220 is an apocalyptic number.

27423220 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 27423220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32433408).

27423220 is an abundant number, since it is smaller than the sum of its proper divisors (37443596).

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

27423220 is a wasteful number, since it uses less digits than its factorization.

27423220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4072 (or 4070 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 27423220 is about 5236.7184381061. The cubic root of 27423220 is about 301.5593620710.

Adding to 27423220 its reverse (2232472), we get a palindrome (29655692).

The spelling of 27423220 in words is "twenty-seven million, four hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 620 682 1364 1705 3410 4021 6820 8042 16084 20105 40210 44231 80420 88462 124651 176924 221155 249302 442310 498604 623255 884620 1246510 1371161 2493020 2742322 5484644 6855805 13711610 27423220