Search a number
-
+
20729646 = 23272191237
BaseRepresentation
bin100111100010…
…0111100101110
31110000011201200
41033010330232
520301322041
62020150330
7341125200
oct117047456
943004650
1020729646
1110779543
126b383a6
1343aa582
142a78770
151c471b6
hex13c4f2e

20729646 has 72 divisors (see below), whose sum is σ = 55041480. Its totient is φ = 5606496.

The previous prime is 20729633. The next prime is 20729699. The reversal of 20729646 is 64692702.

It is a happy number.

20729646 is a `hidden beast` number, since 2 + 0 + 7 + 2 + 9 + 646 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 20729646.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16140 + ... + 17376.

It is an arithmetic number, because the mean of its divisors is an integer number (764465).

Almost surely, 220729646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20729646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27520740).

20729646 is an abundant number, since it is smaller than the sum of its proper divisors (34311834).

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

20729646 is a wasteful number, since it uses less digits than its factorization.

20729646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 20729646 is about 4552.9820996793. The cubic root of 20729646 is about 274.7033539483.

The spelling of 20729646 in words is "twenty million, seven hundred twenty-nine thousand, six hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 49 57 63 98 114 126 133 147 171 266 294 342 399 441 798 882 931 1197 1237 1862 2394 2474 2793 3711 5586 7422 8379 8659 11133 16758 17318 22266 23503 25977 47006 51954 60613 70509 77931 121226 141018 155862 164521 181839 211527 329042 363678 423054 493563 545517 987126 1091034 1151647 1480689 2303294 2961378 3454941 6909882 10364823 20729646