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21529040 = 24513127163
BaseRepresentation
bin101001000100…
…0000111010000
31111111210021212
41102020013100
521002412130
62045235252
7350664611
oct122100720
944453255
1021529040
11111750a5
127262b28
1345ca3a0
142c05c08
151d53e95
hex14881d0

21529040 has 80 divisors (see below), whose sum is σ = 54663168. Its totient is φ = 7838208.

The previous prime is 21529019. The next prime is 21529051. The reversal of 21529040 is 4092512.

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

It is a junction number, because it is equal to n+sod(n) for n = 21528997 and 21529015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131999 + ... + 132161.

Almost surely, 221529040 is an apocalyptic number.

21529040 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 21529040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27331584).

21529040 is an abundant number, since it is smaller than the sum of its proper divisors (33134128).

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

21529040 is a wasteful number, since it uses less digits than its factorization.

21529040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 21529040 is about 4639.9396547800. The cubic root of 21529040 is about 278.1900258680.

The spelling of 21529040 in words is "twenty-one million, five hundred twenty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 127 130 163 208 254 260 326 508 520 635 652 815 1016 1040 1270 1304 1630 1651 2032 2119 2540 2608 3260 3302 4238 5080 6520 6604 8255 8476 10160 10595 13040 13208 16510 16952 20701 21190 26416 33020 33904 41402 42380 66040 82804 84760 103505 132080 165608 169520 207010 269113 331216 414020 538226 828040 1076452 1345565 1656080 2152904 2691130 4305808 5382260 10764520 21529040