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21077520 = 2435312833
BaseRepresentation
bin101000001100…
…1111000010000
31110122211220220
41100121320100
520343440040
62031433040
7344104332
oct120317020
943584826
1021077520
1110996942
127085780
13449ca09
142b29452
151cb52d0
hex1419e10

21077520 has 80 divisors (see below), whose sum is σ = 67471872. Its totient is φ = 5437440.

The previous prime is 21077477. The next prime is 21077527. The reversal of 21077520 is 2577012.

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

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

It is not an unprimeable number, because it can be changed into a prime (21077527) 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, 6024 + ... + 8856.

Almost surely, 221077520 is an apocalyptic number.

21077520 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 21077520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33735936).

21077520 is an abundant number, since it is smaller than the sum of its proper divisors (46394352).

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

21077520 is a wasteful number, since it uses less digits than its factorization.

21077520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2880 (or 2874 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 21077520 is about 4591.0260291138. The cubic root of 21077520 is about 276.2314798228.

The spelling of 21077520 in words is "twenty-one million, seventy-seven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 2833 3720 5666 7440 8499 11332 14165 16998 22664 28330 33996 42495 45328 56660 67992 84990 87823 113320 135984 169980 175646 226640 263469 339960 351292 439115 526938 679920 702584 878230 1053876 1317345 1405168 1756460 2107752 2634690 3512920 4215504 5269380 7025840 10538760 21077520