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120108096 = 26357723
BaseRepresentation
bin1110010100010…
…11010001000000
322101000010100000
413022023101000
5221221424341
615530200000
72655621243
oct712132100
9271003300
10120108096
1161885a99
1234283000
131bb641a4
1411d4725a
15a8278b6
hex728b440

120108096 has 84 divisors (see below), whose sum is σ = 357065072. Its totient is φ = 40030848.

The previous prime is 120108071. The next prime is 120108103. The reversal of 120108096 is 690801021.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11691 + ... + 19413.

Almost surely, 2120108096 is an apocalyptic number.

120108096 is a gapful number since it is divisible by the number (16) 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 120108096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178532536).

120108096 is an abundant number, since it is smaller than the sum of its proper divisors (236956976).

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

120108096 is an frugal number, since it uses more digits than its factorization.

120108096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7750 (or 7728 counting only the distinct ones).

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

The square root of 120108096 is about 10959.3839242906. The cubic root of 120108096 is about 493.3904746733.

The spelling of 120108096 in words is "one hundred twenty million, one hundred eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1728 1944 2592 3888 5184 7723 7776 15446 15552 23169 30892 46338 61784 69507 92676 123568 139014 185352 208521 247136 278028 370704 417042 494272 556056 625563 741408 834084 1112112 1251126 1482816 1668168 1876689 2224224 2502252 3336336 3753378 4448448 5004504 6672672 7506756 10009008 13345344 15013512 20018016 30027024 40036032 60054048 120108096