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27490180 = 22531101439
BaseRepresentation
bin110100011011…
…1011110000100
31220201122102211
41220313132010
524014141210
62421113204
7452443204
oct150673604
956648384
1027490180
1114576863
129258804
1359067a3
143918404
15263038a
hex1a37784

27490180 has 48 divisors (see below), whose sum is σ = 60318720. Its totient is φ = 10512000.

The previous prime is 27490163. The next prime is 27490187. The reversal of 27490180 is 8109472.

It is a Smith number, since the sum of its digits (31) 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 (31).

It is not an unprimeable number, because it can be changed into a prime (27490187) 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, 62401 + ... + 62839.

It is an arithmetic number, because the mean of its divisors is an integer number (1256640).

Almost surely, 227490180 is an apocalyptic number.

27490180 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 27490180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30159360).

27490180 is an abundant number, since it is smaller than the sum of its proper divisors (32828540).

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

27490180 is a wasteful number, since it uses less digits than its factorization.

27490180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 27490180 is about 5243.1078569871. The cubic root of 27490180 is about 301.8046043919.

The spelling of 27490180 in words is "twenty-seven million, four hundred ninety thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 31 62 101 124 155 202 310 404 439 505 620 878 1010 1756 2020 2195 3131 4390 6262 8780 12524 13609 15655 27218 31310 44339 54436 62620 68045 88678 136090 177356 221695 272180 443390 886780 1374509 2749018 5498036 6872545 13745090 27490180