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20241408 = 210311599
BaseRepresentation
bin100110100110…
…1110000000000
31102002100222210
41031031300000
520140211113
62001502120
7334022565
oct115156000
942070883
1020241408
1110475740
126941940
134269285
14298c86c
151b9c6c3
hex134dc00

20241408 has 88 divisors (see below), whose sum is σ = 58953600. Its totient is φ = 6123520.

The previous prime is 20241383. The next prime is 20241421. The reversal of 20241408 is 80414202.

It is a tau number, because it is divible by the number of its divisors (88).

It is a congruent number.

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, 33493 + ... + 34091.

Almost surely, 220241408 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 20241408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29476800).

20241408 is an abundant number, since it is smaller than the sum of its proper divisors (38712192).

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

20241408 is a wasteful number, since it uses less digits than its factorization.

20241408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 20241408 is about 4499.0452320465. The cubic root of 20241408 is about 272.5295335945.

The spelling of 20241408 in words is "twenty million, two hundred forty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 599 704 768 1024 1056 1198 1408 1536 1797 2112 2396 2816 3072 3594 4224 4792 5632 6589 7188 8448 9584 11264 13178 14376 16896 19168 19767 26356 28752 33792 38336 39534 52712 57504 76672 79068 105424 115008 153344 158136 210848 230016 306688 316272 421696 460032 613376 632544 843392 920064 1265088 1686784 1840128 2530176 3373568 5060352 6747136 10120704 20241408