Search a number
-
+
109485768 = 23372332797
BaseRepresentation
bin1101000011010…
…01111011001000
321122000110020110
412201221323020
5211012021033
614510354320
72466420330
oct641517310
9248013213
10109485768
1156890307
12307bb9a0
13198b52a2
14107800c0
15992a363
hex6869ec8

109485768 has 64 divisors (see below), whose sum is σ = 314271360. Its totient is φ = 31136256.

The previous prime is 109485767. The next prime is 109485793. The reversal of 109485768 is 867584901.

It is not an unprimeable number, because it can be changed into a prime (109485767) 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 15 ways as a sum of consecutive naturals, for example, 37746 + ... + 40542.

It is an arithmetic number, because the mean of its divisors is an integer number (4910490).

Almost surely, 2109485768 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 109485768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157135680).

109485768 is an abundant number, since it is smaller than the sum of its proper divisors (204785592).

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

109485768 is a wasteful number, since it uses less digits than its factorization.

109485768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3046 (or 3042 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The square root of 109485768 is about 10463.5447148660. The cubic root of 109485768 is about 478.3941824142.

The spelling of 109485768 in words is "one hundred nine million, four hundred eighty-five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 233 466 699 932 1398 1631 1864 2796 2797 3262 4893 5592 5594 6524 8391 9786 11188 13048 16782 19572 19579 22376 33564 39144 39158 58737 67128 78316 117474 156632 234948 469896 651701 1303402 1955103 2606804 3910206 4561907 5213608 7820412 9123814 13685721 15640824 18247628 27371442 36495256 54742884 109485768