[go: up one dir, main page]

Search a number
-
+
20365632 = 263275051
BaseRepresentation
bin100110110110…
…0000101000000
31102022200101200
41031230011000
520203200012
62004301200
7335051010
oct115540500
942280350
1020365632
1110550001
1269a1800
1342b0991
1429c1c40
151bc43dc
hex136c140

20365632 has 84 divisors (see below), whose sum is σ = 66726816. Its totient is φ = 5817600.

The previous prime is 20365601. The next prime is 20365633. The reversal of 20365632 is 23656302.

20365632 is a `hidden beast` number, since 2 + 0 + 3 + 656 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a junction number, because it is equal to n+sod(n) for n = 20365596 and 20365605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20365633) 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, 1507 + ... + 6557.

Almost surely, 220365632 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 20365632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33363408).

20365632 is an abundant number, since it is smaller than the sum of its proper divisors (46361184).

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

20365632 is a wasteful number, since it uses less digits than its factorization.

20365632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5076 (or 5063 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 20365632 is about 4512.8297109463. The cubic root of 20365632 is about 273.0859126619.

The spelling of 20365632 in words is "twenty million, three hundred sixty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 5051 10102 15153 20204 30306 35357 40408 45459 60612 70714 80816 90918 106071 121224 141428 161632 181836 212142 242448 282856 318213 323264 363672 424284 484896 565712 636426 727344 848568 969792 1131424 1272852 1454688 1697136 2262848 2545704 2909376 3394272 5091408 6788544 10182816 20365632