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27148240 = 245748479
BaseRepresentation
bin110011110001…
…1111111010000
31220002021101101
41213203333100
523422220430
62405514144
7446520250
oct147437720
956067341
1027148240
1114362969
129112954
135816c62
143869960
1525b3dca
hex19e3fd0

27148240 has 40 divisors (see below), whose sum is σ = 72138240. Its totient is φ = 9307776.

The previous prime is 27148223. The next prime is 27148241. The reversal of 27148240 is 4284172.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 27148199 and 27148208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27148241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23680 + ... + 24799.

It is an arithmetic number, because the mean of its divisors is an integer number (1803456).

Almost surely, 227148240 is an apocalyptic number.

27148240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27148240 is an abundant number, since it is smaller than the sum of its proper divisors (44990000).

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

27148240 is a wasteful number, since it uses less digits than its factorization.

27148240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48499 (or 48493 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 27148240 is about 5210.3972977116. The cubic root of 27148240 is about 300.5480352852.

The spelling of 27148240 in words is "twenty-seven million, one hundred forty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 48479 96958 193916 242395 339353 387832 484790 678706 775664 969580 1357412 1696765 1939160 2714824 3393530 3878320 5429648 6787060 13574120 27148240