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27041040 = 2435513107
BaseRepresentation
bin110011100100…
…1110100010000
31212212211100000
41213021310100
523410303130
62403330000
7445562565
oct147116420
955784300
1027041040
111429a374
129080900
1357aa220
14383c86c
152592260
hex19c9d10

27041040 has 240 divisors, whose sum is σ = 102368448. Its totient is φ = 6594048.

The previous prime is 27041039. The next prime is 27041041. The reversal of 27041040 is 4014072.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (27041039) and next prime (27041041).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (27041041) 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 47 ways as a sum of consecutive naturals, for example, 252667 + ... + 252773.

Almost surely, 227041040 is an apocalyptic number.

27041040 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 27041040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51184224).

27041040 is an abundant number, since it is smaller than the sum of its proper divisors (75327408).

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

27041040 is a wasteful number, since it uses less digits than its factorization.

27041040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 27041040 is about 5200.0999990385. The cubic root of 27041040 is about 300.1519230516.

The spelling of 27041040 in words is "twenty-seven million, forty-one thousand, forty".