Search a number
-
+
107316672 = 2633671523
BaseRepresentation
bin1100110010110…
…00010111000000
321110221020210120
412121120113000
5204433113142
614352100240
72442114411
oct631302700
9243836716
10107316672
1155639671
122bb34680
1319305bb8
1410377808
15964c7ec
hex66585c0

107316672 has 56 divisors (see below), whose sum is σ = 284902656. Its totient is φ = 35651328.

The previous prime is 107316667. The next prime is 107316673. The reversal of 107316672 is 276613701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107316673) by changing a digit.

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, 69703 + ... + 71225.

Almost surely, 2107316672 is an apocalyptic number.

107316672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107316672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142451328).

107316672 is an abundant number, since it is smaller than the sum of its proper divisors (177585984).

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

107316672 is a wasteful number, since it uses less digits than its factorization.

107316672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905 (or 1895 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 107316672 is about 10359.3760429864. The cubic root of 107316672 is about 475.2138235841.

The spelling of 107316672 in words is "one hundred seven million, three hundred sixteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 367 734 1101 1468 1523 2202 2936 3046 4404 4569 5872 6092 8808 9138 11744 12184 17616 18276 23488 24368 35232 36552 48736 70464 73104 97472 146208 292416 558941 1117882 1676823 2235764 3353646 4471528 6707292 8943056 13414584 17886112 26829168 35772224 53658336 107316672