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20890480 = 2451353379
BaseRepresentation
bin100111110110…
…0001101110000
31110022100100111
41033230031300
520321443410
62023431104
7342365122
oct117541560
943270314
1020890480
1110879366
126bb5494
134435840
142abb212
151c79b8a
hex13ec370

20890480 has 80 divisors (see below), whose sum is σ = 53434080. Its totient is φ = 7547904.

The previous prime is 20890453. The next prime is 20890489. The reversal of 20890480 is 8409802.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20890489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54931 + ... + 55309.

It is an arithmetic number, because the mean of its divisors is an integer number (667926).

Almost surely, 220890480 is an apocalyptic number.

20890480 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 20890480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26717040).

20890480 is an abundant number, since it is smaller than the sum of its proper divisors (32543600).

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

20890480 is a wasteful number, since it uses less digits than its factorization.

20890480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 20890480 is about 4570.6104625094. The cubic root of 20890480 is about 275.4119665631.

The spelling of 20890480 in words is "twenty million, eight hundred ninety thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 53 65 80 104 106 130 208 212 260 265 379 424 520 530 689 758 848 1040 1060 1378 1516 1895 2120 2756 3032 3445 3790 4240 4927 5512 6064 6890 7580 9854 11024 13780 15160 19708 20087 24635 27560 30320 39416 40174 49270 55120 78832 80348 98540 100435 160696 197080 200870 261131 321392 394160 401740 522262 803480 1044524 1305655 1606960 2089048 2611310 4178096 5222620 10445240 20890480