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120492216 = 2332132329193
BaseRepresentation
bin1110010111010…
…01000010111000
322101201122020200
413023221002320
5221321222331
615542322200
72662111155
oct713510270
9271648220
10120492216
1162018649
1234429360
131bc69c90
141200722c
15a8a15e6
hex72e90b8

120492216 has 192 divisors, whose sum is σ = 381326400. Its totient is φ = 34062336.

The previous prime is 120492199. The next prime is 120492217. The reversal of 120492216 is 612294021.

It is a self number, because there is not a number n which added to its sum of digits gives 120492216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120492217) 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 47 ways as a sum of consecutive naturals, for example, 624216 + ... + 624408.

It is an arithmetic number, because the mean of its divisors is an integer number (1986075).

Almost surely, 2120492216 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 120492216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190663200).

120492216 is an abundant number, since it is smaller than the sum of its proper divisors (260834184).

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

120492216 is a wasteful number, since it uses less digits than its factorization.

120492216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 120492216 is about 10976.8946428396. The cubic root of 120492216 is about 493.9158887977.

The spelling of 120492216 in words is "one hundred twenty million, four hundred ninety-two thousand, two hundred sixteen".