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20415808 = 267199229
BaseRepresentation
bin100110111100…
…0010101000000
31102102020020001
41031320111000
520211301213
62005325344
7335350210
oct115702500
942366201
1020415808
1110584776
126a06854
1342ca77a
1429d6240
151bd41dd
hex1378540

20415808 has 56 divisors (see below), whose sum is σ = 46736000. Its totient is φ = 8667648.

The previous prime is 20415779. The next prime is 20415817. The reversal of 20415808 is 80851402.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 89038 + ... + 89266.

Almost surely, 220415808 is an apocalyptic number.

20415808 is a gapful number since it is divisible by the number (28) 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 20415808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23368000).

20415808 is an abundant number, since it is smaller than the sum of its proper divisors (26320192).

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

20415808 is a wasteful number, since it uses less digits than its factorization.

20415808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 20415808 is about 4518.3855523848. The cubic root of 20415808 is about 273.3100013133.

The spelling of 20415808 in words is "twenty million, four hundred fifteen thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 199 224 229 398 448 458 796 916 1393 1592 1603 1832 2786 3184 3206 3664 5572 6368 6412 7328 11144 12736 12824 14656 22288 25648 44576 45571 51296 89152 91142 102592 182284 318997 364568 637994 729136 1275988 1458272 2551976 2916544 5103952 10207904 20415808