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20365956 = 22321343517
BaseRepresentation
bin100110110110…
…0001010000100
31102022200211200
41031230022010
520203202311
62004302500
7335051652
oct115541204
942280750
1020365956
1110550276
1269a1a30
1342b0b80
1429c1dd2
151bc4556
hex136c284

20365956 has 36 divisors (see below), whose sum is σ = 55441932. Its totient is φ = 6266304.

The previous prime is 20365901. The next prime is 20365957. The reversal of 20365956 is 65956302.

It can be written as a sum of positive squares in 2 ways, for example, as 864900 + 19501056 = 930^2 + 4416^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20365956.

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 11 ways as a sum of consecutive naturals, for example, 21291 + ... + 22226.

Almost surely, 220365956 is an apocalyptic number.

20365956 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

20365956 is an abundant number, since it is smaller than the sum of its proper divisors (35075976).

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

20365956 is a wasteful number, since it uses less digits than its factorization.

20365956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43540 (or 43535 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 20365956 is about 4512.8656084577. The cubic root of 20365956 is about 273.0873608430.

It can be divided in two parts, 20365 and 956, that added together give a triangular number (21321 = T206).

The spelling of 20365956 in words is "twenty million, three hundred sixty-five thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 43517 87034 130551 174068 261102 391653 522204 565721 783306 1131442 1566612 1697163 2262884 3394326 5091489 6788652 10182978 20365956