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107225840 = 2451340323
BaseRepresentation
bin1100110010000…
…10001011110000
321110202122012102
412121002023300
5204422211330
614350115532
72441255531
oct631021360
9243678172
10107225840
11555873a7
122baabba8
13192a3757
1410352688
159630945
hex66422f0

107225840 has 20 divisors (see below), whose sum is σ = 249300264. Its totient is φ = 42890304.

The previous prime is 107225809. The next prime is 107225843. The reversal of 107225840 is 48522701.

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

It is a super-2 number, since 2×1072258402 = 22994761527411200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107225843) 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 3 ways as a sum of consecutive naturals, for example, 670082 + ... + 670241.

Almost surely, 2107225840 is an apocalyptic number.

107225840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107225840 is an abundant number, since it is smaller than the sum of its proper divisors (142074424).

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

107225840 is a wasteful number, since it uses less digits than its factorization.

107225840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340336 (or 1340330 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 107225840 is about 10354.9910671135. The cubic root of 107225840 is about 475.0797133071.

The spelling of 107225840 in words is "one hundred seven million, two hundred twenty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1340323 2680646 5361292 6701615 10722584 13403230 21445168 26806460 53612920 107225840