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120985488 = 24341343167
BaseRepresentation
bin1110011011000…
…01011110010000
322102122200220000
413031201132100
5221433013423
620001050000
72666234241
oct715413620
9272580800
10120985488
1162325208
1234626900
131c0b0660
14120d4cc8
15a94c843
hex7361790

120985488 has 200 divisors, whose sum is σ = 388183488. Its totient is φ = 36142848.

The previous prime is 120985463. The next prime is 120985489. The reversal of 120985488 is 884589021.

It is a happy number.

120985488 is a `hidden beast` number, since 12 + 0 + 98 + 548 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (120985489) 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 39 ways as a sum of consecutive naturals, for example, 724381 + ... + 724547.

Almost surely, 2120985488 is an apocalyptic number.

120985488 is a gapful number since it is divisible by the number (18) 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 120985488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194091744).

120985488 is an abundant number, since it is smaller than the sum of its proper divisors (267198000).

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

120985488 is a wasteful number, since it uses less digits than its factorization.

120985488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 120985488 is about 10999.3403438570. The cubic root of 120985488 is about 494.5889700850.

The spelling of 120985488 in words is "one hundred twenty million, nine hundred eighty-five thousand, four hundred eighty-eight".