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212074128 = 24327210391
BaseRepresentation
bin11001010001111…
…11111010010000
3112210001111000100
430220333322100
5413242333003
633013252400
75153412630
oct1450777220
9483044010
10212074128
11a978a482
125b034100
1334c23c66
14202466c0
1513941ba3
hexca3fe90

212074128 has 60 divisors (see below), whose sum is σ = 678303808. Its totient is φ = 60592320.

The previous prime is 212074123. The next prime is 212074141. The reversal of 212074128 is 821470212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212074123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104188 + ... + 106203.

Almost surely, 2212074128 is an apocalyptic number.

212074128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

212074128 is an abundant number, since it is smaller than the sum of its proper divisors (466229680).

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

212074128 is a wasteful number, since it uses less digits than its factorization.

212074128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210412 (or 210403 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 212074128 is about 14562.7651220501. The cubic root of 212074128 is about 596.3426853793.

The spelling of 212074128 in words is "two hundred twelve million, seventy-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 210391 420782 631173 841564 1262346 1472737 1683128 1893519 2524692 2945474 3366256 3787038 4418211 5049384 5890948 7574076 8836422 10098768 11781896 13254633 15148152 17672844 23563792 26509266 30296304 35345688 53018532 70691376 106037064 212074128