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103640240 = 24511117773
BaseRepresentation
bin1100010110101…
…10110010110000
321020000110200102
412023112302300
5203012441430
614141211532
72365633064
oct613266260
9236013612
10103640240
11535584a0
122a860ba8
13186196b2
14da9baa4
159173345
hex62d6cb0

103640240 has 40 divisors (see below), whose sum is σ = 262871568. Its totient is φ = 37687040.

The previous prime is 103640239. The next prime is 103640249. The reversal of 103640240 is 42046301.

It is a happy number.

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

It is a super-3 number, since 3×1036402403 (a number of 25 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (103640249) 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 7 ways as a sum of consecutive naturals, for example, 58007 + ... + 59766.

Almost surely, 2103640240 is an apocalyptic number.

103640240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103640240 is an abundant number, since it is smaller than the sum of its proper divisors (159231328).

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

103640240 is a wasteful number, since it uses less digits than its factorization.

103640240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117797 (or 117791 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 103640240 is about 10180.3850614797. The cubic root of 103640240 is about 469.7240571259.

Adding to 103640240 its reverse (42046301), we get a palindrome (145686541).

The spelling of 103640240 in words is "one hundred three million, six hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 117773 235546 471092 588865 942184 1177730 1295503 1884368 2355460 2591006 4710920 5182012 6477515 9421840 10364024 12955030 20728048 25910060 51820120 103640240