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20856880 = 24511137173
BaseRepresentation
bin100111110010…
…0000000110000
31110020122021001
41033210000300
520314410010
62023011344
7342165142
oct117440060
943218231
1020856880
11108560a0
126b99b54
134423465
142aacc92
151c6ec3a
hex13e4030

20856880 has 80 divisors (see below), whose sum is σ = 53594784. Its totient is φ = 7485440.

The previous prime is 20856877. The next prime is 20856881. The reversal of 20856880 is 8865802.

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

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (20856881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120474 + ... + 120646.

Almost surely, 220856880 is an apocalyptic number.

20856880 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 20856880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26797392).

20856880 is an abundant number, since it is smaller than the sum of its proper divisors (32737904).

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

20856880 is a wasteful number, since it uses less digits than its factorization.

20856880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The square root of 20856880 is about 4566.9333255479. The cubic root of 20856880 is about 275.2642308837.

It can be divided in two parts, 20856 and 880, that added together give a triangular number (21736 = T208).

The spelling of 20856880 in words is "twenty million, eight hundred fifty-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 137 173 176 220 274 346 440 548 685 692 865 880 1096 1370 1384 1507 1730 1903 2192 2740 2768 3014 3460 3806 5480 6028 6920 7535 7612 9515 10960 12056 13840 15070 15224 19030 23701 24112 30140 30448 38060 47402 60280 76120 94804 118505 120560 152240 189608 237010 260711 379216 474020 521422 948040 1042844 1303555 1896080 2085688 2607110 4171376 5214220 10428440 20856880