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106765452 = 2235109841
BaseRepresentation
bin1100101110100…
…01110010001100
321102220020200000
412113101302030
5204312443302
614332204300
72434330353
oct627216214
9242806600
10106765452
11552a2512
122b909690
1319172031
141027299a
15958e31c
hex65d1c8c

106765452 has 36 divisors (see below), whose sum is σ = 279877416. Its totient is φ = 35588160.

The previous prime is 106765447. The next prime is 106765459. The reversal of 106765452 is 254567601.

It is a happy number.

106765452 is a `hidden beast` number, since 106 + 7 + 6 + 545 + 2 = 666.

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

It is a super-2 number, since 2×1067654522 = 22797723481528608, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (106765459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53949 + ... + 55892.

Almost surely, 2106765452 is an apocalyptic number.

106765452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106765452 is an abundant number, since it is smaller than the sum of its proper divisors (173111964).

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

106765452 is a wasteful number, since it uses less digits than its factorization.

106765452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109860 (or 109846 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 106765452 is about 10332.7369075187. The cubic root of 106765452 is about 474.3987991309.

The spelling of 106765452 in words is "one hundred six million, seven hundred sixty-five thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 109841 219682 329523 439364 659046 988569 1318092 1977138 2965707 3954276 5931414 8897121 11862828 17794242 26691363 35588484 53382726 106765452