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21532080 = 2435731229
BaseRepresentation
bin101001000100…
…0110110110000
31111111221110110
41102020312300
521003011310
62045301320
7351006513
oct122106660
944457413
1021532080
1111177409
127264840
1345cb89b
142c06d7a
151d54d20
hex1488db0

21532080 has 80 divisors (see below), whose sum is σ = 67718880. Its totient is φ = 5658624.

The previous prime is 21532067. The next prime is 21532087. The reversal of 21532080 is 8023512.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (21532087) 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, 16906 + ... + 18134.

It is an arithmetic number, because the mean of its divisors is an integer number (846486).

Almost surely, 221532080 is an apocalyptic number.

21532080 is a gapful number since it is divisible by the number (20) 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 21532080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33859440).

21532080 is an abundant number, since it is smaller than the sum of its proper divisors (46186800).

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

21532080 is a wasteful number, since it uses less digits than its factorization.

21532080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 21532080 is about 4640.2672336839. The cubic root of 21532080 is about 278.2031191577.

Adding to 21532080 its reverse (8023512), we get a palindrome (29555592).

The spelling of 21532080 in words is "twenty-one million, five hundred thirty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 73 80 120 146 219 240 292 365 438 584 730 876 1095 1168 1229 1460 1752 2190 2458 2920 3504 3687 4380 4916 5840 6145 7374 8760 9832 12290 14748 17520 18435 19664 24580 29496 36870 49160 58992 73740 89717 98320 147480 179434 269151 294960 358868 448585 538302 717736 897170 1076604 1345755 1435472 1794340 2153208 2691510 3588680 4306416 5383020 7177360 10766040 21532080