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21179080 = 235133241
BaseRepresentation
bin101000011001…
…0101011001000
31110212000020101
41100302223020
520410212310
62033535144
7345006406
oct120625310
943760211
1021179080
1110a5617a
1271144b4
134507000
142b54476
151cd543a
hex1432ac8

21179080 has 64 divisors (see below), whose sum is σ = 51836400. Its totient is φ = 7787520.

The previous prime is 21179071. The next prime is 21179089. The reversal of 21179080 is 8097112.

It is an interprime number because it is at equal distance from previous prime (21179071) and next prime (21179089).

It can be written as a sum of positive squares in 8 ways, for example, as 367236 + 20811844 = 606^2 + 4562^2 .

It is not an unprimeable number, because it can be changed into a prime (21179089) 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, 87760 + ... + 88000.

Almost surely, 221179080 is an apocalyptic number.

21179080 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 21179080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25918200).

21179080 is an abundant number, since it is smaller than the sum of its proper divisors (30657320).

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

21179080 is a wasteful number, since it uses less digits than its factorization.

21179080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 28.

The square root of 21179080 is about 4602.0734457416. The cubic root of 21179080 is about 276.6744340652.

It can be divided in two parts, 21 and 179080, that added together give a triangular number (179101 = T598).

The spelling of 21179080 in words is "twenty-one million, one hundred seventy-nine thousand, eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 241 260 338 482 520 676 845 964 1205 1352 1690 1928 2197 2410 3133 3380 4394 4820 6266 6760 8788 9640 10985 12532 15665 17576 21970 25064 31330 40729 43940 62660 81458 87880 125320 162916 203645 325832 407290 529477 814580 1058954 1629160 2117908 2647385 4235816 5294770 10589540 21179080