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107219628 = 22322978323
BaseRepresentation
bin1100110010000…
…00101010101100
321110202022200100
412121000222230
5204422012003
614350031100
72441231445
oct631005254
9243668610
10107219628
115558276a
122baa8490
13192a0989
14103502cc
15962dba3
hex6640aac

107219628 has 18 divisors (see below), whose sum is σ = 271027484. Its totient is φ = 35739864.

The previous prime is 107219627. The next prime is 107219647. The reversal of 107219628 is 826912701.

107219628 is a `hidden beast` number, since 1 + 0 + 7 + 21 + 9 + 628 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1072196282 = 22992097256916768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2978323 = 107219628 / (1 + 0 + 7 + 2 + 1 + 9 + 6 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 107219592 and 107219601.

It is not an unprimeable number, because it can be changed into a prime (107219621) 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 5 ways as a sum of consecutive naturals, for example, 1489126 + ... + 1489197.

Almost surely, 2107219628 is an apocalyptic number.

107219628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

107219628 is an abundant number, since it is smaller than the sum of its proper divisors (163807856).

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

107219628 is a wasteful number, since it uses less digits than its factorization.

107219628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2978333 (or 2978328 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 107219628 is about 10354.6911107961. The cubic root of 107219628 is about 475.0705387394.

The spelling of 107219628 in words is "one hundred seven million, two hundred nineteen thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 2978323 5956646 8934969 11913292 17869938 26804907 35739876 53609814 107219628