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107221460 = 2255361073
BaseRepresentation
bin1100110010000…
…01000111010100
321110202102012012
412121001013110
5204422041320
614350043352
72441240003
oct631010724
9243672165
10107221460
1155584085
122baa9558
13192a1768
1410350c3a
15962e4c5
hex66411d4

107221460 has 12 divisors (see below), whose sum is σ = 225165108. Its totient is φ = 42888576.

The previous prime is 107221459. The next prime is 107221463. The reversal of 107221460 is 64122701.

It can be written as a sum of positive squares in 2 ways, for example, as 55323844 + 51897616 = 7438^2 + 7204^2 .

It is a super-2 number, since 2×1072214602 = 22992882969063200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107221463) 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, 2680517 + ... + 2680556.

It is an arithmetic number, because the mean of its divisors is an integer number (18763759).

Almost surely, 2107221460 is an apocalyptic number.

107221460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107221460 is an abundant number, since it is smaller than the sum of its proper divisors (117943648).

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

107221460 is a wasteful number, since it uses less digits than its factorization.

107221460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5361082 (or 5361080 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 107221460 is about 10354.7795727384. The cubic root of 107221460 is about 475.0732444762.

The spelling of 107221460 in words is "one hundred seven million, two hundred twenty-one thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 5361073 10722146 21444292 26805365 53610730 107221460