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106469472 = 2531109057
BaseRepresentation
bin1100101100010…
…01100001100000
321102100012122210
412112021201200
5204224010342
614322002120
72431655424
oct626114140
9242305583
10106469472
11551100aa
122b7a6340
131909a3b5
14101d6b84
15953179c
hex6589860

106469472 has 24 divisors (see below), whose sum is σ = 279482616. Its totient is φ = 35489792.

The previous prime is 106469443. The next prime is 106469513. The reversal of 106469472 is 274964601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1064694722 = 22671496935917568, which contains 22 as substring.

It is a zygodrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 106469472.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 554433 + ... + 554624.

It is an arithmetic number, because the mean of its divisors is an integer number (11645109).

Almost surely, 2106469472 is an apocalyptic number.

106469472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106469472 is an abundant number, since it is smaller than the sum of its proper divisors (173013144).

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

106469472 is a wasteful number, since it uses less digits than its factorization.

106469472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109070 (or 1109062 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 106469472 is about 10318.4045278328. The cubic root of 106469472 is about 473.9600101569.

The spelling of 106469472 in words is "one hundred six million, four hundred sixty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1109057 2218114 3327171 4436228 6654342 8872456 13308684 17744912 26617368 35489824 53234736 106469472