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106496766 = 23217933053
BaseRepresentation
bin1100101100100…
…00001011111110
321102101121002200
412112100023332
5204230344031
614322332330
72432131125
oct626201376
9242347080
10106496766
1155129662
122b7ba0a6
13190a994c
1410202abc
1595398e6
hex65902fe

106496766 has 24 divisors (see below), whose sum is σ = 232039080. Its totient is φ = 35299536.

The previous prime is 106496759. The next prime is 106496833. The reversal of 106496766 is 667694601.

It is a happy number.

It is a super-2 number, since 2×1064967662 = 22683122336917512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13305 + ... + 19748.

It is an arithmetic number, because the mean of its divisors is an integer number (9668295).

Almost surely, 2106496766 is an apocalyptic number.

106496766 is an abundant number, since it is smaller than the sum of its proper divisors (125542314).

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

106496766 is a wasteful number, since it uses less digits than its factorization.

106496766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33240 (or 33237 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 106496766 is about 10319.7270312736. The cubic root of 106496766 is about 474.0005073968. Note that the first 3 decimals are identical.

The spelling of 106496766 in words is "one hundred six million, four hundred ninety-six thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 9 18 179 358 537 1074 1611 3222 33053 66106 99159 198318 297477 594954 5916487 11832974 17749461 35498922 53248383 106496766