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106635828 = 223131935977
BaseRepresentation
bin1100101101100…
…10001000110100
321102122122212010
412112302020310
5204244321303
614325324220
72433250425
oct626621064
9242578763
10106635828
1155214092
122b866670
1319128030
141023b64c
159565c03
hex65b2234

106635828 has 48 divisors (see below), whose sum is σ = 282067520. Its totient is φ = 31083264.

The previous prime is 106635821. The next prime is 106635839. The reversal of 106635828 is 828536601.

It is a happy number.

It is a super-2 number, since 2×1066358282 = 22742399626491168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106635821) 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, 15025 + ... + 20952.

Almost surely, 2106635828 is an apocalyptic number.

It is an amenable number.

106635828 is an abundant number, since it is smaller than the sum of its proper divisors (175431692).

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

106635828 is a wasteful number, since it uses less digits than its factorization.

106635828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36016 (or 36014 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 106635828 is about 10326.4625114315. The cubic root of 106635828 is about 474.2067320905.

The spelling of 106635828 in words is "one hundred six million, six hundred thirty-five thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 228 247 494 741 988 1482 2964 35977 71954 107931 143908 215862 431724 467701 683563 935402 1367126 1403103 1870804 2050689 2734252 2806206 4101378 5612412 8202756 8886319 17772638 26658957 35545276 53317914 106635828