Search a number
-
+
109668720 = 24357292251
BaseRepresentation
bin1101000100101…
…10100101110000
321122100202012110
412202112211300
5211033344340
614514325320
72501111610
oct642264560
9248322173
10109668720
11569a5807
1230889840
131994a645
14107caa40
159964680
hex6896970

109668720 has 160 divisors (see below), whose sum is σ = 402117120. Its totient is φ = 24192000.

The previous prime is 109668661. The next prime is 109668773. The reversal of 109668720 is 27866901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47595 + ... + 49845.

It is an arithmetic number, because the mean of its divisors is an integer number (2513232).

Almost surely, 2109668720 is an apocalyptic number.

109668720 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 109668720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201058560).

109668720 is an abundant number, since it is smaller than the sum of its proper divisors (292448400).

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

109668720 is a wasteful number, since it uses less digits than its factorization.

109668720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2303 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 109668720 is about 10472.2834186246. The cubic root of 109668720 is about 478.6605015547.

The spelling of 109668720 in words is "one hundred nine million, six hundred sixty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 29 30 35 40 42 48 56 58 60 70 80 84 87 105 112 116 120 140 145 168 174 203 210 232 240 280 290 336 348 406 420 435 464 560 580 609 696 812 840 870 1015 1160 1218 1392 1624 1680 1740 2030 2251 2320 2436 3045 3248 3480 4060 4502 4872 6090 6753 6960 8120 9004 9744 11255 12180 13506 15757 16240 18008 22510 24360 27012 31514 33765 36016 45020 47271 48720 54024 63028 65279 67530 78785 90040 94542 108048 126056 130558 135060 157570 180080 189084 195837 236355 252112 261116 270120 315140 326395 378168 391674 456953 472710 522232 540240 630280 652790 756336 783348 913906 945420 979185 1044464 1260560 1305580 1370859 1566696 1827812 1890840 1958370 2284765 2611160 2741718 3133392 3655624 3781680 3916740 4569530 5222320 5483436 6854295 7311248 7833480 9139060 10966872 13708590 15666960 18278120 21933744 27417180 36556240 54834360 109668720