Search a number
-
+
109936768 = 2737139167
BaseRepresentation
bin1101000110110…
…00000010000000
321122212100220011
412203120002000
5211120434033
614524154304
72503306234
oct643300200
9248770804
10109936768
1157069137
1230998994
1319a12656
141085a5c4
1599b8ccd
hex68d8080

109936768 has 64 divisors (see below), whose sum is σ = 227908800. Its totient is φ = 52780032.

The previous prime is 109936753. The next prime is 109936769. The reversal of 109936768 is 867639901.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109936769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 658221 + ... + 658387.

It is an arithmetic number, because the mean of its divisors is an integer number (3561075).

Almost surely, 2109936768 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 109936768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113954400).

109936768 is an abundant number, since it is smaller than the sum of its proper divisors (117972032).

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

109936768 is a wasteful number, since it uses less digits than its factorization.

109936768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 49.

The square root of 109936768 is about 10485.0735810484. The cubic root of 109936768 is about 479.0501586966.

The spelling of 109936768 in words is "one hundred nine million, nine hundred thirty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 37 64 74 128 139 148 167 278 296 334 556 592 668 1112 1184 1336 2224 2368 2672 4448 4736 5143 5344 6179 8896 10286 10688 12358 17792 20572 21376 23213 24716 41144 46426 49432 82288 92852 98864 164576 185704 197728 329152 371408 395456 658304 742816 790912 858881 1485632 1717762 2971264 3435524 6871048 13742096 27484192 54968384 109936768