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21697720 = 2351124483
BaseRepresentation
bin101001011000…
…1010010111000
31111211100200021
41102301102320
521023311340
62053020224
7352266442
oct122612270
944740607
1021697720
111127a900
127324674
1346590b5
142c4b492
151d88e4a
hex14b14b8

21697720 has 48 divisors (see below), whose sum is σ = 53673480. Its totient is φ = 7888320.

The previous prime is 21697703. The next prime is 21697721. The reversal of 21697720 is 2779612.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21697721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2599 + ... + 7081.

Almost surely, 221697720 is an apocalyptic number.

21697720 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 21697720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26836740).

21697720 is an abundant number, since it is smaller than the sum of its proper divisors (31975760).

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

21697720 is a wasteful number, since it uses less digits than its factorization.

21697720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4516 (or 4501 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 34.

The square root of 21697720 is about 4658.0811500016. The cubic root of 21697720 is about 278.9146761009.

It can be divided in two parts, 2169 and 7720, that added together give a palindrome (9889).

The spelling of 21697720 in words is "twenty-one million, six hundred ninety-seven thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4483 4840 8966 17932 22415 35864 44830 49313 89660 98626 179320 197252 246565 394504 493130 542443 986260 1084886 1972520 2169772 2712215 4339544 5424430 10848860 21697720