Search a number
-
+
20774772 = 22331491291
BaseRepresentation
bin100111100111…
…1111101110100
31110002110122000
41033033331310
520304243042
62021135300
7341403564
oct117177564
943073560
1020774772
11107aa437
126b5a530
1343c4c85
142a8ada4
151c5574c
hex13cff74

20774772 has 48 divisors (see below), whose sum is σ = 54264000. Its totient is φ = 6873120.

The previous prime is 20774753. The next prime is 20774783. The reversal of 20774772 is 27747702.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15447 + ... + 16737.

It is an arithmetic number, because the mean of its divisors is an integer number (1130500).

Almost surely, 220774772 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 20774772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27132000).

20774772 is an abundant number, since it is smaller than the sum of its proper divisors (33489228).

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

20774772 is a wasteful number, since it uses less digits than its factorization.

20774772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 38416, while the sum is 36.

The square root of 20774772 is about 4557.9350587739. The cubic root of 20774772 is about 274.9025417741.

The spelling of 20774772 in words is "twenty million, seven hundred seventy-four thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 149 298 447 596 894 1291 1341 1788 2582 2682 3873 4023 5164 5364 7746 8046 11619 15492 16092 23238 34857 46476 69714 139428 192359 384718 577077 769436 1154154 1731231 2308308 3462462 5193693 6924924 10387386 20774772