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20365952 = 271071487
BaseRepresentation
bin100110110110…
…0001010000000
31102022200211112
41031230022000
520203202302
62004302452
7335051645
oct115541200
942280745
1020365952
1110550272
1269a1a28
1342b0b79
1429c1dcc
151bc4552
hex136c280

20365952 has 32 divisors (see below), whose sum is σ = 40979520. Its totient is φ = 10081024.

The previous prime is 20365901. The next prime is 20365957. The reversal of 20365952 is 25956302.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (20365957) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12953 + ... + 14439.

It is an arithmetic number, because the mean of its divisors is an integer number (1280610).

Almost surely, 220365952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20365952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20489760).

20365952 is an abundant number, since it is smaller than the sum of its proper divisors (20613568).

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

20365952 is a wasteful number, since it uses less digits than its factorization.

20365952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 32.

The square root of 20365952 is about 4512.8651652803. The cubic root of 20365952 is about 273.0873429643.

The spelling of 20365952 in words is "twenty million, three hundred sixty-five thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 107 128 214 428 856 1487 1712 2974 3424 5948 6848 11896 13696 23792 47584 95168 159109 190336 318218 636436 1272872 2545744 5091488 10182976 20365952