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107774672 = 2429359647
BaseRepresentation
bin1100110110010…
…00001011010000
321111210112001112
412123020023100
5210042242142
614405552452
72446032605
oct633101320
9244715045
10107774672
1155921785
1230115728
13194364c5
14104566ac
1596dd382
hex66c82d0

107774672 has 40 divisors (see below), whose sum is σ = 216950400. Its totient is φ = 51804032.

The previous prime is 107774633. The next prime is 107774699. The reversal of 107774672 is 276477701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 166253 + ... + 166899.

It is an arithmetic number, because the mean of its divisors is an integer number (5423760).

Almost surely, 2107774672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107774672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108475200).

107774672 is an abundant number, since it is smaller than the sum of its proper divisors (109175728).

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

107774672 is a wasteful number, since it uses less digits than its factorization.

107774672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 115248, while the sum is 41.

The square root of 107774672 is about 10381.4580864154. The cubic root of 107774672 is about 475.8888943423. Note that the first 4 decimals are identical.

The spelling of 107774672 in words is "one hundred seven million, seven hundred seventy-four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 29 58 116 232 359 464 647 718 1294 1436 2588 2872 5176 5744 10352 10411 18763 20822 37526 41644 75052 83288 150104 166576 232273 300208 464546 929092 1858184 3716368 6735917 13471834 26943668 53887336 107774672