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21536152 = 23114147127
BaseRepresentation
bin101001000100…
…1110110011000
31111112011001021
41102021312120
521003124102
62045332224
7351024421
oct122116630
944464037
1021536152
111117a480
127267074
1346006b1
142c08648
151d56137
hex1489d98

21536152 has 64 divisors (see below), whose sum is σ = 46448640. Its totient is φ = 9273600.

The previous prime is 21536149. The next prime is 21536159. The reversal of 21536152 is 25163512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21536159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169513 + ... + 169639.

It is an arithmetic number, because the mean of its divisors is an integer number (725760).

Almost surely, 221536152 is an apocalyptic number.

21536152 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 21536152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23224320).

21536152 is an abundant number, since it is smaller than the sum of its proper divisors (24912488).

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

21536152 is a wasteful number, since it uses less digits than its factorization.

21536152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 228 counting only the distinct ones).

The product of its digits is 1800, while the sum is 25.

The square root of 21536152 is about 4640.7059807749. The cubic root of 21536152 is about 278.2206553440.

Adding to 21536152 its reverse (25163512), we get a palindrome (46699664).

The spelling of 21536152 in words is "twenty-one million, five hundred thirty-six thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 22 41 44 47 82 88 94 127 164 188 254 328 376 451 508 517 902 1016 1034 1397 1804 1927 2068 2794 3608 3854 4136 5207 5588 5969 7708 10414 11176 11938 15416 20828 21197 23876 41656 42394 47752 57277 65659 84788 114554 131318 169576 229108 244729 262636 458216 489458 525272 978916 1957832 2692019 5384038 10768076 21536152