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21287772 = 2235112181
BaseRepresentation
bin101000100110…
…1001101011100
31111001112100000
41101031031130
520422202042
62040134300
7345641322
oct121151534
944045300
1021287772
111101a900
127167390
13454461c
142b81d12
151d0774c
hex144d35c

21287772 has 108 divisors (see below), whose sum is σ = 61676888. Its totient is φ = 6415200.

The previous prime is 21287767. The next prime is 21287797. The reversal of 21287772 is 27778212.

It is a tau number, because it is divible by the number of its divisors (108).

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 35 ways as a sum of consecutive naturals, for example, 117522 + ... + 117702.

Almost surely, 221287772 is an apocalyptic number.

21287772 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21287772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30838444).

21287772 is an abundant number, since it is smaller than the sum of its proper divisors (40389116).

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

21287772 is a wasteful number, since it uses less digits than its factorization.

21287772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 197 counting only the distinct ones).

The product of its digits is 21952, while the sum is 36.

The square root of 21287772 is about 4613.8673583015. The cubic root of 21287772 is about 277.1469286154.

The spelling of 21287772 in words is "twenty-one million, two hundred eighty-seven thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 181 198 242 243 297 324 362 363 396 484 486 543 594 724 726 891 972 1086 1089 1188 1452 1629 1782 1991 2172 2178 2673 3258 3267 3564 3982 4356 4887 5346 5973 6516 6534 7964 9774 9801 10692 11946 13068 14661 17919 19548 19602 21901 23892 29322 29403 35838 39204 43802 43983 53757 58644 58806 65703 71676 87604 87966 107514 117612 131406 161271 175932 197109 215028 262812 322542 394218 483813 591327 645084 788436 967626 1182654 1773981 1935252 2365308 3547962 5321943 7095924 10643886 21287772