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20389152 = 253730341
BaseRepresentation
bin100110111000…
…1110100100000
31102100212122210
41031301310200
520204423102
62005002120
7335206410
oct115616440
942325583
1020389152
1110566743
1269b3340
1342bb5b4
1429ca640
151bcb36c
hex1371d20

20389152 has 48 divisors (see below), whose sum is σ = 61169472. Its totient is φ = 5825280.

The previous prime is 20389151. The next prime is 20389157. The reversal of 20389152 is 25198302.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (20389151) 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 7 ways as a sum of consecutive naturals, for example, 14499 + ... + 15842.

It is an arithmetic number, because the mean of its divisors is an integer number (1274364).

Almost surely, 220389152 is an apocalyptic number.

It is an amenable number.

20389152 is an abundant number, since it is smaller than the sum of its proper divisors (40780320).

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

20389152 is a wasteful number, since it uses less digits than its factorization.

20389152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30361 (or 30353 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 20389152 is about 4515.4348627790. The cubic root of 20389152 is about 273.1909999915.

The spelling of 20389152 in words is "twenty million, three hundred eighty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 30341 60682 91023 121364 182046 212387 242728 364092 424774 485456 637161 728184 849548 970912 1274322 1456368 1699096 2548644 2912736 3398192 5097288 6796384 10194576 20389152