Search a number
-
+
107835228 = 22324369661
BaseRepresentation
bin1100110110101…
…10111101011100
321111220121010100
412123112331130
5210101211403
614411141100
72446404264
oct633267534
9244817110
10107835228
1155963226
1230144790
1319457c37
14104707a4
1597012a3
hex66d6f5c

107835228 has 36 divisors (see below), whose sum is σ = 278926648. Its totient is φ = 35108640.

The previous prime is 107835223. The next prime is 107835283. The reversal of 107835228 is 822538701.

It is a tau number, because it is divible by the number of its divisors (36).

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 = 107835192 and 107835201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107835223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33283 + ... + 36378.

Almost surely, 2107835228 is an apocalyptic number.

107835228 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

107835228 is an abundant number, since it is smaller than the sum of its proper divisors (171091420).

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

107835228 is a wasteful number, since it uses less digits than its factorization.

107835228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69714 (or 69709 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 107835228 is about 10384.3742228408. The cubic root of 107835228 is about 475.9780078345.

The spelling of 107835228 in words is "one hundred seven million, eight hundred thirty-five thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1548 69661 139322 208983 278644 417966 626949 835932 1253898 2507796 2995423 5990846 8986269 11981692 17972538 26958807 35945076 53917614 107835228