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120093488 = 24233071063
BaseRepresentation
bin1110010100001…
…11101100110000
322100222101021222
413022013230300
5221220442423
615530004212
72655530534
oct712075460
9270871258
10120093488
1161876019
1234276668
131bb5a648
1411d41bc4
15a8233c8
hex7287b30

120093488 has 40 divisors (see below), whose sum is σ = 243817728. Its totient is φ = 57195072.

The previous prime is 120093487. The next prime is 120093503. The reversal of 120093488 is 884390021.

It is a happy number.

It is a super-2 number, since 2×1200934882 = 28844891720012288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120093487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112445 + ... + 113507.

Almost surely, 2120093488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120093488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121908864).

120093488 is an abundant number, since it is smaller than the sum of its proper divisors (123724240).

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

120093488 is a wasteful number, since it uses less digits than its factorization.

120093488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 120093488 is about 10958.7174432047. The cubic root of 120093488 is about 493.3704711917.

The spelling of 120093488 in words is "one hundred twenty million, ninety-three thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 16 23 46 92 184 307 368 614 1063 1228 2126 2456 4252 4912 7061 8504 14122 17008 24449 28244 48898 56488 97796 112976 195592 326341 391184 652682 1305364 2610728 5221456 7505843 15011686 30023372 60046744 120093488