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21536980 = 2254379317
BaseRepresentation
bin101001000101…
…0000011010100
31111112012011221
41102022003110
521003140410
62045340124
7351030013
oct122120324
944465157
1021536980
1111180063
127267644
134600b9a
142c08a7a
151d564da
hex148a0d4

21536980 has 48 divisors (see below), whose sum is σ = 47013120. Its totient is φ = 8281728.

The previous prime is 21536953. The next prime is 21536989. The reversal of 21536980 is 8963512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21536989) 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, 67782 + ... + 68098.

It is an arithmetic number, because the mean of its divisors is an integer number (979440).

Almost surely, 221536980 is an apocalyptic number.

21536980 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 21536980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23506560).

21536980 is an abundant number, since it is smaller than the sum of its proper divisors (25476140).

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

21536980 is a wasteful number, since it uses less digits than its factorization.

21536980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 21536980 is about 4640.7951904819. The cubic root of 21536980 is about 278.2242208796.

It can be divided in two parts, 2 and 1536980, that multiplied together give a triangular number (3073960 = T2479).

The spelling of 21536980 in words is "twenty-one million, five hundred thirty-six thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 43 79 86 158 172 215 316 317 395 430 634 790 860 1268 1580 1585 3170 3397 6340 6794 13588 13631 16985 25043 27262 33970 50086 54524 67940 68155 100172 125215 136310 250430 272620 500860 1076849 2153698 4307396 5384245 10768490 21536980