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20639872 = 2711107137
BaseRepresentation
bin100111010111…
…1000010000000
31102211121120201
41032233002000
520240433442
62014214544
7340302361
oct116570200
942747521
1020639872
1110718050
126ab4454
134378756
142a53b68
151c2a7b7
hex13af080

20639872 has 64 divisors (see below), whose sum is σ = 45606240. Its totient is φ = 9226240.

The previous prime is 20639869. The next prime is 20639881. The reversal of 20639872 is 27893602.

20639872 = T243 + T244 + ... + T516.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150588 + ... + 150724.

Almost surely, 220639872 is an apocalyptic number.

20639872 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 20639872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22803120).

20639872 is an abundant number, since it is smaller than the sum of its proper divisors (24966368).

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

20639872 is a wasteful number, since it uses less digits than its factorization.

20639872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 20639872 is about 4543.1125894039. The cubic root of 20639872 is about 274.3062269712.

It can be divided in two parts, 2063 and 9872, that added together give a triangular number (11935 = T154).

The spelling of 20639872 in words is "twenty million, six hundred thirty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 107 128 137 176 214 274 352 428 548 704 856 1096 1177 1408 1507 1712 2192 2354 3014 3424 4384 4708 6028 6848 8768 9416 12056 13696 14659 17536 18832 24112 29318 37664 48224 58636 75328 96448 117272 150656 161249 192896 234544 322498 469088 644996 938176 1289992 1876352 2579984 5159968 10319936 20639872