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107820828 = 22338111231
BaseRepresentation
bin1100110110100…
…11011100011100
321111212212101000
412123103130130
5210100231303
614410550300
72446314303
oct633233434
9244785330
10107820828
1155953425
1230138390
131945150b
141046943a
1596ebda3
hex66d371c

107820828 has 48 divisors (see below), whose sum is σ = 280107520. Its totient is φ = 35866800.

The previous prime is 107820827. The next prime is 107820847. The reversal of 107820828 is 828028701.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 107820792 and 107820801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107820827) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86973 + ... + 88203.

Almost surely, 2107820828 is an apocalyptic number.

107820828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

107820828 is an abundant number, since it is smaller than the sum of its proper divisors (172286692).

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

107820828 is a wasteful number, since it uses less digits than its factorization.

107820828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2055 (or 2047 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 107820828 is about 10383.6808502573. The cubic root of 107820828 is about 475.9568199891.

The spelling of 107820828 in words is "one hundred seven million, eight hundred twenty thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 811 1231 1622 2433 2462 3244 3693 4866 4924 7299 7386 9732 11079 14598 14772 21897 22158 29196 33237 43794 44316 66474 87588 132948 998341 1996682 2995023 3993364 5990046 8985069 11980092 17970138 26955207 35940276 53910414 107820828