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26920320 = 273572003
BaseRepresentation
bin110011010110…
…0010110000000
31212122200201220
41212230112000
523342422240
62400555040
7444550620
oct146542600
955580656
1026920320
11142176a9
129022a80
1357672ab
14380a880
15256b5d0
hex19ac580

26920320 has 128 divisors (see below), whose sum is σ = 98115840. Its totient is φ = 6150144.

The previous prime is 26920297. The next prime is 26920339. The reversal of 26920320 is 2302962.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12439 + ... + 14441.

It is an arithmetic number, because the mean of its divisors is an integer number (766530).

Almost surely, 226920320 is an apocalyptic number.

26920320 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 26920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49057920).

26920320 is an abundant number, since it is smaller than the sum of its proper divisors (71195520).

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

26920320 is a wasteful number, since it uses less digits than its factorization.

26920320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2032 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 26920320 is about 5188.4795460713. The cubic root of 26920320 is about 299.7045981101.

The spelling of 26920320 in words is "twenty-six million, nine hundred twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2003 2240 2688 3360 4006 4480 6009 6720 8012 10015 12018 13440 14021 16024 20030 24036 28042 30045 32048 40060 42063 48072 56084 60090 64096 70105 80120 84126 96144 112168 120180 128192 140210 160240 168252 192288 210315 224336 240360 256384 280420 320480 336504 384576 420630 448672 480720 560840 640960 673008 769152 841260 897344 961440 1121680 1281920 1346016 1682520 1794688 1922880 2243360 2692032 3365040 3845760 4486720 5384064 6730080 8973440 13460160 26920320