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20840976 = 2434131237
BaseRepresentation
bin100111110000…
…0001000010000
31110012211110000
41033200020100
520313402401
62022410000
7342100602
oct117401020
943184400
1020840976
1110845152
126b90900
134419150
142aa7172
151c6a186
hex13e0210

20840976 has 100 divisors (see below), whose sum is σ = 65012332. Its totient is φ = 6407424.

The previous prime is 20840951. The next prime is 20840977. The reversal of 20840976 is 67904802.

It can be written as a sum of positive squares in 2 ways, for example, as 9144576 + 11696400 = 3024^2 + 3420^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20840976.

It is not an unprimeable number, because it can be changed into a prime (20840977) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16230 + ... + 17466.

Almost surely, 220840976 is an apocalyptic number.

20840976 is a gapful number since it is divisible by the number (26) 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 20840976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32506166).

20840976 is an abundant number, since it is smaller than the sum of its proper divisors (44171356).

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

20840976 is a wasteful number, since it uses less digits than its factorization.

20840976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 20840976 is about 4565.1917812946. The cubic root of 20840976 is about 275.1942473333.

The spelling of 20840976 in words is "twenty million, eight hundred forty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 936 1053 1237 1296 1404 1872 2106 2474 2808 3711 4212 4948 5616 7422 8424 9896 11133 14844 16081 16848 19792 22266 29688 32162 33399 44532 48243 59376 64324 66798 89064 96486 100197 128648 133596 144729 178128 192972 200394 257296 267192 289458 385944 400788 434187 534384 578916 771888 801576 868374 1157832 1302561 1603152 1736748 2315664 2605122 3473496 5210244 6946992 10420488 20840976