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120066738 = 23111995747
BaseRepresentation
bin1110010100000…
…01001010110010
322100221000121020
413022001022302
5221214113423
615525240310
72655356541
oct712011262
9270830536
10120066738
1161857a10
1234263096
131bb4b40c
1411d36158
15a81a4e3
hex72812b2

120066738 has 32 divisors (see below), whose sum is σ = 275754240. Its totient is φ = 34468560.

The previous prime is 120066731. The next prime is 120066763. The reversal of 120066738 is 837660021.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 120066699 and 120066708.

It is not an unprimeable number, because it can be changed into a prime (120066731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46620 + ... + 49127.

It is an arithmetic number, because the mean of its divisors is an integer number (8617320).

Almost surely, 2120066738 is an apocalyptic number.

120066738 is an abundant number, since it is smaller than the sum of its proper divisors (155687502).

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

120066738 is a wasteful number, since it uses less digits than its factorization.

120066738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95782.

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 120066738 is about 10957.4968856943. The cubic root of 120066738 is about 493.3338368431. Note that the first 3 decimals are identical.

The spelling of 120066738 in words is "one hundred twenty million, sixty-six thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 627 1254 95747 191494 287241 574482 1053217 1819193 2106434 3159651 3638386 5457579 6319302 10915158 20011123 40022246 60033369 120066738