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120263985 = 3252672533
BaseRepresentation
bin1110010101100…
…01010100110001
322101022001011200
413022301110301
5221241421420
615533401413
72660140602
oct712612461
9271261150
10120263985
1161982126
1234339269
131bbba12a
1411d87da9
15a858b90
hex72b1531

120263985 has 12 divisors (see below), whose sum is σ = 208457652. Its totient is φ = 64140768.

The previous prime is 120263981. The next prime is 120263999. The reversal of 120263985 is 589362021.

120263985 is a `hidden beast` number, since 12 + 0 + 2 + 639 + 8 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18173169 + 102090816 = 4263^2 + 10104^2 .

It is not a de Polignac number, because 120263985 - 22 = 120263981 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (120263981) 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 11 ways as a sum of consecutive naturals, for example, 1336222 + ... + 1336311.

It is an arithmetic number, because the mean of its divisors is an integer number (17371471).

Almost surely, 2120263985 is an apocalyptic number.

120263985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120263985 is a deficient number, since it is larger than the sum of its proper divisors (88193667).

120263985 is a wasteful number, since it uses less digits than its factorization.

120263985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2672544 (or 2672541 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 120263985 is about 10966.4937423043. The cubic root of 120263985 is about 493.6038405176.

The spelling of 120263985 in words is "one hundred twenty million, two hundred sixty-three thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 15 45 2672533 8017599 13362665 24052797 40087995 120263985