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20097408 = 273199263
BaseRepresentation
bin100110010101…
…0100110000000
31101211001110110
41030222212000
520121104113
61554431320
7332553012
oct114524600
941731413
1020097408
1110387531
126892540
134218876
1429521b2
151b6ebc3
hex132a980

20097408 has 64 divisors (see below), whose sum is σ = 53856000. Its totient is φ = 6640128.

The previous prime is 20097379. The next prime is 20097409. The reversal of 20097408 is 80479002.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20097409) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76285 + ... + 76547.

It is an arithmetic number, because the mean of its divisors is an integer number (841500).

Almost surely, 220097408 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 20097408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26928000).

20097408 is an abundant number, since it is smaller than the sum of its proper divisors (33758592).

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

20097408 is a wasteful number, since it uses less digits than its factorization.

20097408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 20097408 is about 4483.0132723426. The cubic root of 20097408 is about 271.8817248171.

The spelling of 20097408 in words is "twenty million, ninety-seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 199 263 384 398 526 597 789 796 1052 1194 1578 1592 2104 2388 3156 3184 4208 4776 6312 6368 8416 9552 12624 12736 16832 19104 25248 25472 33664 38208 50496 52337 76416 100992 104674 157011 209348 314022 418696 628044 837392 1256088 1674784 2512176 3349568 5024352 6699136 10048704 20097408