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20164074 = 2371731911
BaseRepresentation
bin100110011101…
…0110111101010
31101221102220120
41030322313222
520130222244
62000104110
7333251250
oct114726752
941842816
1020164074
1110422627
126905036
134240008
14296c5d0
151b84819
hex133adea

20164074 has 64 divisors (see below), whose sum is σ = 50429952. Its totient is φ = 5241600.

The previous prime is 20164063. The next prime is 20164093. The reversal of 20164074 is 47046102.

20164074 = T435 + T436 + ... + T587.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21679 + ... + 22589.

It is an arithmetic number, because the mean of its divisors is an integer number (787968).

Almost surely, 220164074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20164074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25214976).

20164074 is an abundant number, since it is smaller than the sum of its proper divisors (30265878).

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

20164074 is a wasteful number, since it uses less digits than its factorization.

20164074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971.

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 20164074 is about 4490.4425171691. The cubic root of 20164074 is about 272.1820166515.

The spelling of 20164074 in words is "twenty million, one hundred sixty-four thousand, seventy-four".

Divisors: 1 2 3 6 7 14 17 21 31 34 42 51 62 93 102 119 186 217 238 357 434 527 651 714 911 1054 1302 1581 1822 2733 3162 3689 5466 6377 7378 11067 12754 15487 19131 22134 28241 30974 38262 46461 56482 84723 92922 108409 169446 197687 216818 325227 395374 480097 593061 650454 960194 1186122 1440291 2880582 3360679 6721358 10082037 20164074