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107020240 = 2451337753
BaseRepresentation
bin1100110000011…
…11111111010000
321110101012011121
412120033333100
5204344121430
614341452024
72436441235
oct630177720
9243335147
10107020240
1155456988
122ba11014
1319230cb2
14102db78c
1595dea7a
hex660ffd0

107020240 has 20 divisors (see below), whose sum is σ = 248822244. Its totient is φ = 42808064.

The previous prime is 107020231. The next prime is 107020241. The reversal of 107020240 is 42020701.

It can be written as a sum of positive squares in 2 ways, for example, as 37063744 + 69956496 = 6088^2 + 8364^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×1070202402 = 22906663539315200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107020241) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 668797 + ... + 668956.

Almost surely, 2107020240 is an apocalyptic number.

107020240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107020240 is an abundant number, since it is smaller than the sum of its proper divisors (141802004).

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

107020240 is a wasteful number, since it uses less digits than its factorization.

107020240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337766 (or 1337760 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 107020240 is about 10345.0587238546. The cubic root of 107020240 is about 474.7758721016.

Adding to 107020240 its reverse (42020701), we get a palindrome (149040941).

The spelling of 107020240 in words is "one hundred seven million, twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1337753 2675506 5351012 6688765 10702024 13377530 21404048 26755060 53510120 107020240