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120192096 = 2531737237
BaseRepresentation
bin1110010100111…
…11110001100000
322101011101120010
413022133301200
5221232121341
615532044520
72656421163
oct712376140
9271141503
10120192096
1161933112
1234303740
131bb934ab
1411d69ada
15a842716
hex729fc60

120192096 has 48 divisors (see below), whose sum is σ = 317371824. Its totient is φ = 39826944.

The previous prime is 120192077. The next prime is 120192109. The reversal of 120192096 is 690291021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1201920962 = 28892279881746432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12990 + ... + 20226.

It is an arithmetic number, because the mean of its divisors is an integer number (6611913).

Almost surely, 2120192096 is an apocalyptic number.

120192096 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 120192096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158685912).

120192096 is an abundant number, since it is smaller than the sum of its proper divisors (197179728).

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

120192096 is a wasteful number, since it uses less digits than its factorization.

120192096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7423 (or 7415 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 120192096 is about 10963.2155866789. The cubic root of 120192096 is about 493.5054687030.

The spelling of 120192096 in words is "one hundred twenty million, one hundred ninety-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 173 346 519 692 1038 1384 2076 2768 4152 5536 7237 8304 14474 16608 21711 28948 43422 57896 86844 115792 173688 231584 347376 694752 1252001 2504002 3756003 5008004 7512006 10016008 15024012 20032016 30048024 40064032 60096048 120192096