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26640020 = 22511172419
BaseRepresentation
bin110010110011…
…1111010010100
31212010110020102
41211213322110
523304440040
62350553232
7442302461
oct145477224
955113212
1026640020
1114046050
128b08818
135699834
143776668
152513515
hex1967e94

26640020 has 72 divisors (see below), whose sum is σ = 64985760. Its totient is φ = 9095680.

The previous prime is 26640017. The next prime is 26640041. The reversal of 26640020 is 2004662.

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

It is a junction number, because it is equal to n+sod(n) for n = 26639974 and 26640001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63371 + ... + 63789.

It is an arithmetic number, because the mean of its divisors is an integer number (902580).

Almost surely, 226640020 is an apocalyptic number.

26640020 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 26640020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32492880).

26640020 is an abundant number, since it is smaller than the sum of its proper divisors (38345740).

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

26640020 is a wasteful number, since it uses less digits than its factorization.

26640020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 26640020 is about 5161.3970976859. The cubic root of 26640020 is about 298.6607711908.

Adding to 26640020 its reverse (2004662), we get a palindrome (28644682).

It can be divided in two parts, 26 and 640020, that added together give a palindrome (640046).

The spelling of 26640020 in words is "twenty-six million, six hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 289 340 374 419 578 748 838 935 1156 1445 1676 1870 2095 2890 3179 3740 4190 4609 5780 6358 7123 8380 9218 12716 14246 15895 18436 23045 28492 31790 35615 46090 63580 71230 78353 92180 121091 142460 156706 242182 313412 391765 484364 605455 783530 1210910 1332001 1567060 2421820 2664002 5328004 6660005 13320010 26640020