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26980080 = 2435791423
BaseRepresentation
bin110011011101…
…0111011110000
31212202201201020
41212322323300
523401330310
62402135440
7445220061
oct146727360
955681636
1026980080
1114258596
129051580
13578855a
143824568
15257e170
hex19baef0

26980080 has 80 divisors (see below), whose sum is σ = 84756480. Its totient is φ = 7098624.

The previous prime is 26980073. The next prime is 26980097. The reversal of 26980080 is 8008962.

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

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, 18249 + ... + 19671.

It is an arithmetic number, because the mean of its divisors is an integer number (1059456).

Almost surely, 226980080 is an apocalyptic number.

26980080 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 26980080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42378240).

26980080 is an abundant number, since it is smaller than the sum of its proper divisors (57776400).

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

26980080 is a wasteful number, since it uses less digits than its factorization.

26980080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 26980080 is about 5194.2352661388. The cubic root of 26980080 is about 299.9262040709.

The spelling of 26980080 in words is "twenty-six million, nine hundred eighty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 79 80 120 158 237 240 316 395 474 632 790 948 1185 1264 1423 1580 1896 2370 2846 3160 3792 4269 4740 5692 6320 7115 8538 9480 11384 14230 17076 18960 21345 22768 28460 34152 42690 56920 68304 85380 112417 113840 170760 224834 337251 341520 449668 562085 674502 899336 1124170 1349004 1686255 1798672 2248340 2698008 3372510 4496680 5396016 6745020 8993360 13490040 26980080