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20868480 = 273253623
BaseRepresentation
bin100111110011…
…0110110000000
31110021020011200
41033212312000
520320242410
62023141200
7342244023
oct117466600
943236150
1020868480
1110863886
126ba4800
134428819
142ab31ba
151c733c0
hex13e6d80

20868480 has 96 divisors (see below), whose sum is σ = 72081360. Its totient is φ = 5563392.

The previous prime is 20868473. The next prime is 20868499. The reversal of 20868480 is 8486802.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3949 + ... + 7571.

Almost surely, 220868480 is an apocalyptic number.

20868480 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 20868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36040680).

20868480 is an abundant number, since it is smaller than the sum of its proper divisors (51212880).

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

20868480 is a wasteful number, since it uses less digits than its factorization.

20868480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3648 (or 3633 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 20868480 is about 4568.2031478471. The cubic root of 20868480 is about 275.3152527894.

The spelling of 20868480 in words is "twenty million, eight hundred sixty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 3623 5760 7246 10869 14492 18115 21738 28984 32607 36230 43476 54345 57968 65214 72460 86952 108690 115936 130428 144920 163035 173904 217380 231872 260856 289840 326070 347808 434760 463744 521712 579680 652140 695616 869520 1043424 1159360 1304280 1391232 1739040 2086848 2318720 2608560 3478080 4173696 5217120 6956160 10434240 20868480