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20365644 = 22313196871
BaseRepresentation
bin100110110110…
…0000101001100
31102022200102010
41031230011030
520203200034
62004301220
7335051025
oct115540514
942280363
1020365644
1110550012
1269a1810
1342b09a0
1429c1c4c
151bc43e9
hex136c14c

20365644 has 48 divisors (see below), whose sum is σ = 53876480. Its totient is φ = 5935680.

The previous prime is 20365637. The next prime is 20365691. The reversal of 20365644 is 44656302.

20365644 = 3902 + 3912 + ... + 4932.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 472 + ... + 6399.

Almost surely, 220365644 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 20365644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26938240).

20365644 is an abundant number, since it is smaller than the sum of its proper divisors (33510836).

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

20365644 is a wasteful number, since it uses less digits than its factorization.

20365644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6910 (or 6908 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 20365644 is about 4512.8310404889. The cubic root of 20365644 is about 273.0859662985.

The spelling of 20365644 in words is "twenty million, three hundred sixty-five thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 228 247 494 741 988 1482 2964 6871 13742 20613 27484 41226 82452 89323 130549 178646 261098 267969 357292 391647 522196 535938 783294 1071876 1566588 1697137 3394274 5091411 6788548 10182822 20365644