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109680120 = 233251127697
BaseRepresentation
bin1101000100110…
…01010111111000
321122101022211200
412202121113320
5211034230440
614514454200
72501160054
oct642312770
9248338750
10109680120
1156a03330
1230894360
13199528a4
14107d0c64
159967c30
hex68995f8

109680120 has 96 divisors (see below), whose sum is σ = 388879920. Its totient is φ = 26588160.

The previous prime is 109680119. The next prime is 109680127. The reversal of 109680120 is 21086901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109680127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9889 + ... + 17808.

Almost surely, 2109680120 is an apocalyptic number.

109680120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

109680120 is an abundant number, since it is smaller than the sum of its proper divisors (279199800).

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

109680120 is a wasteful number, since it uses less digits than its factorization.

109680120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27725 (or 27718 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 109680120 is about 10472.8276983821. The cubic root of 109680120 is about 478.6770864742.

The spelling of 109680120 in words is "one hundred nine million, six hundred eighty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 27697 55394 83091 110788 138485 166182 221576 249273 276970 304667 332364 415455 498546 553940 609334 664728 830910 914001 997092 1107880 1218668 1246365 1523335 1661820 1828002 1994184 2437336 2492730 2742003 3046670 3323640 3656004 4570005 4985460 5484006 6093340 7312008 9140010 9970920 10968012 12186680 13710015 18280020 21936024 27420030 36560040 54840060 109680120