[go: up one dir, main page]

Search a number
-
+
21201648 = 2431361557
BaseRepresentation
bin101000011100…
…0001011110000
31110220011012020
41100320023300
520411423043
62034231440
7345132246
oct120701360
943804166
1021201648
1110a71126
127125580
134514370
142b5c796
151cdbe83
hex14382f0

21201648 has 80 divisors (see below), whose sum is σ = 60058656. Its totient is φ = 6405120.

The previous prime is 21201647. The next prime is 21201673. The reversal of 21201648 is 84610212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21201641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37786 + ... + 38342.

Almost surely, 221201648 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 21201648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30029328).

21201648 is an abundant number, since it is smaller than the sum of its proper divisors (38857008).

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

21201648 is a wasteful number, since it uses less digits than its factorization.

21201648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 21201648 is about 4604.5247311748. The cubic root of 21201648 is about 276.7726720768.

The spelling of 21201648 in words is "twenty-one million, two hundred one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 61 78 104 122 156 183 208 244 312 366 488 557 624 732 793 976 1114 1464 1586 1671 2228 2379 2928 3172 3342 4456 4758 6344 6684 7241 8912 9516 12688 13368 14482 19032 21723 26736 28964 33977 38064 43446 57928 67954 86892 101931 115856 135908 173784 203862 271816 347568 407724 441701 543632 815448 883402 1325103 1630896 1766804 2650206 3533608 5300412 7067216 10600824 21201648