Search a number
-
+
20765916 = 2233474091
BaseRepresentation
bin100111100110…
…1110011011100
31110002000111000
41033031303130
520304002131
62021030300
7341336013
oct117156334
943060430
1020765916
11107a3816
126b55390
1343c0c32
142a87a7a
151c52ce6
hex13cdcdc

20765916 has 48 divisors (see below), whose sum is σ = 54996480. Its totient is φ = 6773040.

The previous prime is 20765909. The next prime is 20765923. The reversal of 20765916 is 61956702.

It is an interprime number because it is at equal distance from previous prime (20765909) and next prime (20765923).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3031 + ... + 7121.

It is an arithmetic number, because the mean of its divisors is an integer number (1145760).

Almost surely, 220765916 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 20765916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27498240).

20765916 is an abundant number, since it is smaller than the sum of its proper divisors (34230564).

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

20765916 is a wasteful number, since it uses less digits than its factorization.

20765916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4151 (or 4143 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 20765916 is about 4556.9634626580. The cubic root of 20765916 is about 274.8634738294.

The spelling of 20765916 in words is "twenty million, seven hundred sixty-five thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 94 108 141 188 282 423 564 846 1269 1692 2538 4091 5076 8182 12273 16364 24546 36819 49092 73638 110457 147276 192277 220914 384554 441828 576831 769108 1153662 1730493 2307324 3460986 5191479 6921972 10382958 20765916