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21315080 = 235412317
BaseRepresentation
bin101000101001…
…1111000001000
31111002220210102
41101103320020
520424040310
62040504532
7346114043
oct121237010
944086712
1021315080
1111039376
12717b148
134553b97
142b8bc5a
151d108a5
hex1453e08

21315080 has 48 divisors (see below), whose sum is σ = 49312260. Its totient is φ = 8291840.

The previous prime is 21315079. The next prime is 21315083. The reversal of 21315080 is 8051312.

It can be written as a sum of positive squares in 6 ways, for example, as 320356 + 20994724 = 566^2 + 4582^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (21315083) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67082 + ... + 67398.

Almost surely, 221315080 is an apocalyptic number.

21315080 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 21315080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24656130).

21315080 is an abundant number, since it is smaller than the sum of its proper divisors (27997180).

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

21315080 is a wasteful number, since it uses less digits than its factorization.

21315080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 21315080 is about 4616.8257493650. The cubic root of 21315080 is about 277.2653862039.

Adding to 21315080 its reverse (8051312), we get a palindrome (29366392).

The spelling of 21315080 in words is "twenty-one million, three hundred fifteen thousand, eighty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 317 328 410 634 820 1268 1585 1640 1681 2536 3170 3362 6340 6724 8405 12680 12997 13448 16810 25994 33620 51988 64985 67240 103976 129970 259940 519880 532877 1065754 2131508 2664385 4263016 5328770 10657540 21315080