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27151040 = 2657172331
BaseRepresentation
bin110011110010…
…0101011000000
31220002102020002
41213210223000
523422313130
62405535132
7446531360
oct147445300
956072202
1027151040
1114364a84
1291144a8
135818307
14386a9a0
1525b4b45
hex19e4ac0

27151040 has 224 divisors, whose sum is σ = 84271104. Its totient is φ = 8110080.

The previous prime is 27151037. The next prime is 27151093. The reversal of 27151040 is 4015172.

27151040 = T239 + T240 + ... + T560.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 875825 + ... + 875855.

Almost surely, 227151040 is an apocalyptic number.

27151040 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 27151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42135552).

27151040 is an abundant number, since it is smaller than the sum of its proper divisors (57120064).

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

27151040 is a wasteful number, since it uses less digits than its factorization.

27151040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 27151040 is about 5210.6659843057. The cubic root of 27151040 is about 300.5583675150.

The spelling of 27151040 in words is "twenty-seven million, one hundred fifty-one thousand, forty".