Search a number
-
+
20719944 = 233273839
BaseRepresentation
bin100111100001…
…0100101001000
31102222200102100
41033002211020
520301014234
62020033400
7341055000
oct117024510
942880370
1020719944
1110772223
126b32860
1343a602b
142a75000
151c44399
hex13c2948

20719944 has 96 divisors (see below), whose sum is σ = 65520000. Its totient is φ = 5912928.

The previous prime is 20719927. The next prime is 20719961. The reversal of 20719944 is 44991702.

It is an interprime number because it is at equal distance from previous prime (20719927) and next prime (20719961).

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

It is a junction number, because it is equal to n+sod(n) for n = 20719899 and 20719908.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24277 + ... + 25115.

It is an arithmetic number, because the mean of its divisors is an integer number (682500).

Almost surely, 220719944 is an apocalyptic number.

20719944 is a gapful number since it is divisible by the number (24) 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 20719944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32760000).

20719944 is an abundant number, since it is smaller than the sum of its proper divisors (44800056).

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

20719944 is a wasteful number, since it uses less digits than its factorization.

20719944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 20719944 is about 4551.9165194454. The cubic root of 20719944 is about 274.6604912155.

The spelling of 20719944 in words is "twenty million, seven hundred nineteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 343 392 441 504 588 686 839 882 1029 1176 1372 1678 1764 2058 2517 2744 3087 3356 3528 4116 5034 5873 6174 6712 7551 8232 10068 11746 12348 15102 17619 20136 23492 24696 30204 35238 41111 46984 52857 60408 70476 82222 105714 123333 140952 164444 211428 246666 287777 328888 369999 422856 493332 575554 739998 863331 986664 1151108 1479996 1726662 2302216 2589993 2959992 3453324 5179986 6906648 10359972 20719944