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216061380 = 223251200341
BaseRepresentation
bin11001110000011…
…01010111000100
3120001120001111100
430320031113010
5420302431010
633234540100
75232330363
oct1470152704
9501501440
10216061380
11100a63127
1260437630
13359bba92
14209a37da
1513e7d2c0
hexce0d5c4

216061380 has 36 divisors (see below), whose sum is σ = 655386732. Its totient is φ = 57616320.

The previous prime is 216061361. The next prime is 216061403. The reversal of 216061380 is 83160612.

216061380 is a `hidden beast` number, since 21 + 606 + 1 + 38 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 139428864 + 76632516 = 11808^2 + 8754^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

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, 599991 + ... + 600350.

It is an arithmetic number, because the mean of its divisors is an integer number (18205187).

Almost surely, 2216061380 is an apocalyptic number.

216061380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216061380 is an abundant number, since it is smaller than the sum of its proper divisors (439325352).

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

216061380 is a wasteful number, since it uses less digits than its factorization.

216061380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200356 (or 1200351 counting only the distinct ones).

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

The square root of 216061380 is about 14699.0264983774. The cubic root of 216061380 is about 600.0568279508.

The spelling of 216061380 in words is "two hundred sixteen million, sixty-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1200341 2400682 3601023 4801364 6001705 7202046 10803069 12003410 14404092 18005115 21606138 24006820 36010230 43212276 54015345 72020460 108030690 216061380