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106902072 = 2333494917
BaseRepresentation
bin1100101111100…
…11001000111000
321110011012002000
412113303020320
5204331331242
614335141000
72435436564
oct627631070
9243135060
10106902072
1155386122
122b974760
13191bc284
14102aa6a4
1595b9a4c
hex65f3238

106902072 has 32 divisors (see below), whose sum is σ = 296950800. Its totient is φ = 35633952.

The previous prime is 106902067. The next prime is 106902079. The reversal of 106902072 is 270209601.

It is a super-2 number, since 2×1069020722 = 22856105995786368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106902079) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 247243 + ... + 247674.

Almost surely, 2106902072 is an apocalyptic number.

106902072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106902072 is an abundant number, since it is smaller than the sum of its proper divisors (190048728).

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

106902072 is a wasteful number, since it uses less digits than its factorization.

106902072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494932 (or 494922 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 106902072 is about 10339.3458206987. The cubic root of 106902072 is about 474.6010641181.

The spelling of 106902072 in words is "one hundred six million, nine hundred two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 494917 989834 1484751 1979668 2969502 3959336 4454253 5939004 8908506 11878008 13362759 17817012 26725518 35634024 53451036 106902072