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20668560 = 2435117829
BaseRepresentation
bin100111011011…
…0000010010000
31102220001221020
41032312002100
520242343220
62014555440
7340452123
oct116660220
942801836
1020668560
1110737660
126b08b80
134388823
142a603ba
151c34040
hex13b6090

20668560 has 80 divisors (see below), whose sum is σ = 69906240. Its totient is φ = 5009920.

The previous prime is 20668553. The next prime is 20668567. The reversal of 20668560 is 6586602.

It is an interprime number because it is at equal distance from previous prime (20668553) and next prime (20668567).

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 (33).

It is not an unprimeable number, because it can be changed into a prime (20668567) 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, 1275 + ... + 6554.

It is an arithmetic number, because the mean of its divisors is an integer number (873828).

Almost surely, 220668560 is an apocalyptic number.

20668560 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 20668560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34953120).

20668560 is an abundant number, since it is smaller than the sum of its proper divisors (49237680).

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

20668560 is a wasteful number, since it uses less digits than its factorization.

20668560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7856 (or 7850 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 20668560 is about 4546.2687997962. The cubic root of 20668560 is about 274.4332570536.

The spelling of 20668560 in words is "twenty million, six hundred sixty-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 7829 15658 23487 31316 39145 46974 62632 78290 86119 93948 117435 125264 156580 172238 187896 234870 258357 313160 344476 375792 430595 469740 516714 626320 688952 861190 939480 1033428 1291785 1377904 1722380 1878960 2066856 2583570 3444760 4133712 5167140 6889520 10334280 20668560