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40027104 = 25321310691
BaseRepresentation
bin1001100010110…
…0001111100000
32210022120212100
42120230033200
540221331404
63545530400
7664140045
oct230541740
983276770
1040027104
1120659a57
12114a3a00
1383a5ca0
14545d1cc
1537a9d39
hex262c3e0

40027104 has 72 divisors (see below), whose sum is σ = 122594472. Its totient is φ = 12314880.

The previous prime is 40027103. The next prime is 40027121. The reversal of 40027104 is 40172004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40027103) 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 11 ways as a sum of consecutive naturals, for example, 1602 + ... + 9089.

It is an arithmetic number, because the mean of its divisors is an integer number (1702701).

Almost surely, 240027104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40027104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61297236).

40027104 is an abundant number, since it is smaller than the sum of its proper divisors (82567368).

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

40027104 is a wasteful number, since it uses less digits than its factorization.

40027104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10720 (or 10709 counting only the distinct ones).

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

The square root of 40027104 is about 6326.6977168188. The cubic root of 40027104 is about 342.0724172082.

Adding to 40027104 its reverse (40172004), we get a palindrome (80199108).

The spelling of 40027104 in words is "forty million, twenty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 10691 21382 32073 42764 64146 85528 96219 128292 138983 171056 192438 256584 277966 342112 384876 416949 513168 555932 769752 833898 1026336 1111864 1250847 1539504 1667796 2223728 2501694 3079008 3335592 4447456 5003388 6671184 10006776 13342368 20013552 40027104