Search a number
-
+
109027680 = 25351971153
BaseRepresentation
bin1100111111110…
…10000101100000
321121011011212020
412133322011200
5210402341210
614452501440
72462501646
oct637720540
9247134766
10109027680
11565a8123
123061a880
1319784928
14106a1196
159889770
hex67fa160

109027680 has 96 divisors (see below), whose sum is σ = 345479904. Its totient is φ = 28901376.

The previous prime is 109027669. The next prime is 109027687. The reversal of 109027680 is 86720901.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109027687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93984 + ... + 95136.

It is an arithmetic number, because the mean of its divisors is an integer number (3598749).

Almost surely, 2109027680 is an apocalyptic number.

109027680 is a gapful number since it is divisible by the number (10) 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 109027680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172739952).

109027680 is an abundant number, since it is smaller than the sum of its proper divisors (236452224).

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

109027680 is a wasteful number, since it uses less digits than its factorization.

109027680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 109027680 is about 10441.6320563406. The cubic root of 109027680 is about 477.7260499653.

The spelling of 109027680 in words is "one hundred nine million, twenty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 197 240 394 480 591 788 985 1153 1182 1576 1970 2306 2364 2955 3152 3459 3940 4612 4728 5765 5910 6304 6918 7880 9224 9456 11530 11820 13836 15760 17295 18448 18912 23060 23640 27672 31520 34590 36896 46120 47280 55344 69180 92240 94560 110688 138360 184480 227141 276720 454282 553440 681423 908564 1135705 1362846 1817128 2271410 2725692 3407115 3634256 4542820 5451384 6814230 7268512 9085640 10902768 13628460 18171280 21805536 27256920 36342560 54513840 109027680