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26728320 = 273513921
BaseRepresentation
bin110010111110…
…1011110000000
31212021221100210
41211331132000
523320301240
62352514120
7443121063
oct145753600
955257323
1026728320
11140a6423
128b4b940
1356caa98
14379a8da
15252e780
hex197d780

26728320 has 64 divisors (see below), whose sum is σ = 85202640. Its totient is φ = 7127040.

The previous prime is 26728291. The next prime is 26728333. The reversal of 26728320 is 2382762.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5041 + ... + 8880.

Almost surely, 226728320 is an apocalyptic number.

26728320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26728320 is an abundant number, since it is smaller than the sum of its proper divisors (58474320).

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

26728320 is a wasteful number, since it uses less digits than its factorization.

26728320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13943 (or 13931 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 26728320 is about 5169.9439068524. The cubic root of 26728320 is about 298.9903838401.

The spelling of 26728320 in words is "twenty-six million, seven hundred twenty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 13921 27842 41763 55684 69605 83526 111368 139210 167052 208815 222736 278420 334104 417630 445472 556840 668208 835260 890944 1113680 1336416 1670520 1781888 2227360 2672832 3341040 4454720 5345664 6682080 8909440 13364160 26728320