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21521682 = 23272131877
BaseRepresentation
bin101001000011…
…0010100010010
31111111102012100
41102012110102
521002143212
62045141230
7350634300
oct122062422
944442170
1021521682
111116a616
12725a816
1345c6c30
142c03270
151d51bdc
hex1486512

21521682 has 72 divisors (see below), whose sum is σ = 58447116. Its totient is φ = 5673024.

The previous prime is 21521671. The next prime is 21521693. The reversal of 21521682 is 28612512.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21521671) and next prime (21521693).

It can be written as a sum of positive squares in 2 ways, for example, as 21150801 + 370881 = 4599^2 + 609^2 .

It is a super-2 number, since 2×215216822 = 926365592218248, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10528 + ... + 12404.

Almost surely, 221521682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21521682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29223558).

21521682 is an abundant number, since it is smaller than the sum of its proper divisors (36925434).

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

21521682 is a wasteful number, since it uses less digits than its factorization.

21521682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912 (or 1902 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 21521682 is about 4639.1466887780. The cubic root of 21521682 is about 278.1583298356.

The spelling of 21521682 in words is "twenty-one million, five hundred twenty-one thousand, six hundred eighty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 147 182 234 273 294 441 546 637 819 882 1274 1638 1877 1911 3754 3822 5631 5733 11262 11466 13139 16893 24401 26278 33786 39417 48802 73203 78834 91973 118251 146406 170807 183946 219609 236502 275919 341614 439218 512421 551838 827757 1024842 1195649 1537263 1655514 2391298 3074526 3586947 7173894 10760841 21521682